Pith Number

pith:NPIYWNNU

pith:2014:NPIYWNNU52MZWT2BWFRT5SDUTK

not attested not anchored not stored refs pending

Density of polynomials in classes of functions on products of planar domains

P. M. Gauthier, V. Nestoridis

arxiv:1403.1126 v1 · 2014-03-05 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPIYWNNU52MZWT2BWFRT5SDUTK}

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	2026-05-18T02:57:00.567880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd18b35b4ee999b4f41b1633ec8749a98282192cce7e5101ff5d99c7d9dc5ed

Aliases

arxiv: 1403.1126 · arxiv_version: 1403.1126v1 · doi: 10.48550/arxiv.1403.1126 · pith_short_12: NPIYWNNU52MZ · pith_short_16: NPIYWNNU52MZWT2B · pith_short_8: NPIYWNNU

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/NPIYWNNU52MZWT2BWFRT5SDUTK \
  | 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: 6bd18b35b4ee999b4f41b1633ec8749a98282192cce7e5101ff5d99c7d9dc5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04212f245d6b7dbcff74676b68acb6e931f13e4247167e07a6aa6705a7dcba8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-03-05T13:44:32Z",
    "title_canon_sha256": "e9b9063aae47e220500c851c59ecc428ea0fa866dee622b914a50a8dcbef76c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1126",
    "kind": "arxiv",
    "version": 1
  }
}