Pith Number

pith:VJVNZ25Z

pith:2013:VJVNZ25ZXMM2QMTAAYASEWFDKQ

not attested not anchored not stored refs pending

Direct limits of Cohen-Macaulay rings

Massoud Tousi, Mehdi Dorreh, Mohsen Asgharzadeh

arxiv:1312.6799 v1 · 2013-12-24 · 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{VJVNZ25ZXMM2QMTAAYASEWFDKQ}

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	2026-05-18T03:03:56.022446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6adcebb9bb19a8326006012258a35424631299ffef08fa5cbef6e30aef04cd

Aliases

arxiv: 1312.6799 · arxiv_version: 1312.6799v1 · doi: 10.48550/arxiv.1312.6799 · pith_short_12: VJVNZ25ZXMM2 · pith_short_16: VJVNZ25ZXMM2QMTA · pith_short_8: VJVNZ25Z

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/VJVNZ25ZXMM2QMTAAYASEWFDKQ \
  | 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: aa6adcebb9bb19a8326006012258a35424631299ffef08fa5cbef6e30aef04cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be61f7fc10de63c7a4e2b94c21dd4adb31462cd1769985e081a229eac3f182f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-24T11:37:58Z",
    "title_canon_sha256": "62c24d258b3b5b62a73d3ed0ecd76d5f184dec5939ab05ba81cd6f6a1400a48e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6799",
    "kind": "arxiv",
    "version": 1
  }
}