Pith Number

pith:J2VWLLOQ

pith:2010:J2VWLLOQXWN65M5GKQZ2L3XXFM

not attested not anchored not stored refs pending

Three-Standardness of the Maximal Ideal

Craig Huneke, H. Ananthnarayan

arxiv:1005.1310 v2 · 2010-05-07 · 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{J2VWLLOQXWN65M5GKQZ2L3XXFM}

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	2026-05-18T04:29:34.983626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eab65add0bd9beeb3a65433a5eef72b1aac145d457ce5fd83dd60e9f712be0d

Aliases

arxiv: 1005.1310 · arxiv_version: 1005.1310v2 · doi: 10.48550/arxiv.1005.1310 · pith_short_12: J2VWLLOQXWN6 · pith_short_16: J2VWLLOQXWN65M5G · pith_short_8: J2VWLLOQ

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/J2VWLLOQXWN65M5GKQZ2L3XXFM \
  | 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: 4eab65add0bd9beeb3a65433a5eef72b1aac145d457ce5fd83dd60e9f712be0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8779fee91769450fcad2e3f86d8514748a9410c96a05a029f9772f81e3e2778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-05-07T23:26:49Z",
    "title_canon_sha256": "0a40842313c9a195ed4f6bff72c5596bcdd7afec98e49f779932e7b5889f7cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1310",
    "kind": "arxiv",
    "version": 2
  }
}