Pith Number

pith:GRDY472B

pith:2015:GRDY472BNAFJGPMNHDBZJ2ILIC

not attested not anchored not stored refs pending

The Zero Set of a Real Analytic Function

Boris Mityagin

arxiv:1512.07276 v1 · 2015-12-22 · math.CA · math.SP

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRDY472BNAFJGPMNHDBZJ2ILIC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

9 papers in Pith

Causal Inference with Categorical Unobserved Confounder via Mixture Learning

A General Framework for Optimal Group Sequential Testing via Mixed-Integer Linear Programming

Consistent line clustering using geometric hypergraphs

Spurious Strange Correlators in Symmetry-Protected Topological Phases

Convergence of difference inclusions via a diameter criterion

Receipt and verification

First computed	2026-05-18T01:23:50.184345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34478e7f41680a933d8d38c394e90b40b268b3972e901b3dde7f5c50eb743f91

Aliases

arxiv: 1512.07276 · arxiv_version: 1512.07276v1 · doi: 10.48550/arxiv.1512.07276 · pith_short_12: GRDY472BNAFJ · pith_short_16: GRDY472BNAFJGPMN · pith_short_8: GRDY472B

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GRDY472BNAFJGPMNHDBZJ2ILIC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 34478e7f41680a933d8d38c394e90b40b268b3972e901b3dde7f5c50eb743f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f3a30d2ee6176fa33961991e0e5337d5f1282c21f32c71097b3b2e11123e9d8",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-22T22:01:22Z",
    "title_canon_sha256": "3c5f7730185052a10f6c00f9c8863f13ef322eb6b7da5e0c7c378199be163bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07276",
    "kind": "arxiv",
    "version": 1
  }
}