Pith Number

pith:GPNPCEW5

pith:2003:GPNPCEW5JWLCSFSU6W3RAIAQ3L

not attested not anchored not stored refs pending

The Area of Polynomial Images and Preimages

Cambridge), Edward Crane (Trinity College

arxiv:math/0302189 v1 · 2003-02-17 · math.CV · math.CA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPNPCEW5JWLCSFSU6W3RAIAQ3L}

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	2026-07-04T14:37:05.104857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33daf112dd4d96291654f5b7102010dad124108db472a8bc91905681d6543449

Aliases

arxiv: math/0302189 · arxiv_version: math/0302189v1 · doi: 10.48550/arxiv.math/0302189 · pith_short_12: GPNPCEW5JWLC · pith_short_16: GPNPCEW5JWLCSFSU · pith_short_8: GPNPCEW5

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/GPNPCEW5JWLCSFSU6W3RAIAQ3L \
  | 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: 33daf112dd4d96291654f5b7102010dad124108db472a8bc91905681d6543449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1acc85397867f57d8be7ac1ad9f528cefda574e935212ed8a4b3cc9901648b1",
    "cross_cats_sorted": [
      "math.CA",
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2003-02-17T14:53:34Z",
    "title_canon_sha256": "5d7e7e7a6762ca481a9c8d92e4f3e4e279d85baa29de78438e42c376044aa2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302189",
    "kind": "arxiv",
    "version": 1
  }
}