Pith Number

pith:HALW7RRI

pith:2015:HALW7RRIJDQS7BL5CE5WWELF2K

not attested not anchored not stored refs pending

Uniqueness Properties for Discrete equations and Carleman estimates

Aingeru Fern\'andez-Bertolin, Luis Vega

arxiv:1509.08545 v2 · 2015-09-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HALW7RRIJDQS7BL5CE5WWELF2K}

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

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.

Receipt and verification

First computed	2026-05-18T00:08:36.860193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38176fc62848e12f857d113b6b1165d2a311a470e7884cde4803d6642dca3bcc

Aliases

arxiv: 1509.08545 · arxiv_version: 1509.08545v2 · doi: 10.48550/arxiv.1509.08545 · pith_short_12: HALW7RRIJDQS · pith_short_16: HALW7RRIJDQS7BL5 · pith_short_8: HALW7RRI

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/HALW7RRIJDQS7BL5CE5WWELF2K \
  | 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: 38176fc62848e12f857d113b6b1165d2a311a470e7884cde4803d6642dca3bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078a1d3d612dee1e89e51cf6503e8bb74139953cb0021bbf01a01b45c273ebd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-28T23:59:20Z",
    "title_canon_sha256": "4f474f384e6f77101fc965ba048864f75afbc3c3aaad6c729658ef3ce8ba3481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08545",
    "kind": "arxiv",
    "version": 2
  }
}