Pith Number

pith:A63X6FGG

pith:2000:A63X6FGGHPF4F7MLCDTJS4CGGF

not attested not anchored not stored refs pending

Artinian algebras and differential forms

Fabiana Krongold (University of Buenos Aires), Guillermo Corti\~nas

arxiv:math/0001147 v1 · 2000-01-26 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A63X6FGGHPF4F7MLCDTJS4CGGF}

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	2026-05-18T04:14:38.424331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b77f14c63bcbc2fd8b10e69970463141781c230b2cf61f9b3a5b9a62a3693c

Aliases

arxiv: math/0001147 · arxiv_version: math/0001147v1 · doi: 10.48550/arxiv.math/0001147 · pith_short_12: A63X6FGGHPF4 · pith_short_16: A63X6FGGHPF4F7ML · pith_short_8: A63X6FGG

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/A63X6FGGHPF4F7MLCDTJS4CGGF \
  | 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: 07b77f14c63bcbc2fd8b10e69970463141781c230b2cf61f9b3a5b9a62a3693c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cd86065b5af261854f8e3f2ab9afc5ffe5c8eb348e27eceb2fd5d2fa2884e3",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-01-26T09:36:36Z",
    "title_canon_sha256": "9e894e2fae7700ee660c0415bc1177f762056159ee02966f9c810b2367c7e0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0001147",
    "kind": "arxiv",
    "version": 1
  }
}