Pith Number

pith:D2ST5XTZ

pith:2013:D2ST5XTZI4ERK6QPWAW6QQFYBH

not attested not anchored not stored refs pending

On the relative Cohen-Macaulay modules

Majid Rahro Zargar

arxiv:1303.2208 v2 · 2013-03-09 · 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{D2ST5XTZI4ERK6QPWAW6QQFYBH}

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	2026-05-18T02:49:18.385936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea53ede794709157a0fb02de840b809e6b5b28df0e23bfde09a407e29c4b5e0

Aliases

arxiv: 1303.2208 · arxiv_version: 1303.2208v2 · doi: 10.48550/arxiv.1303.2208 · pith_short_12: D2ST5XTZI4ER · pith_short_16: D2ST5XTZI4ERK6QP · pith_short_8: D2ST5XTZ

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/D2ST5XTZI4ERK6QPWAW6QQFYBH \
  | 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: 1ea53ede794709157a0fb02de840b809e6b5b28df0e23bfde09a407e29c4b5e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd20ddae66be30fd0e5b126018270b209be051256a0e33dbcc66a2dc60f15762",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-03-09T13:35:21Z",
    "title_canon_sha256": "d5cc3d0d6dbcffab96350d7048e4179aa263d3b43b2af076c687514118992e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2208",
    "kind": "arxiv",
    "version": 2
  }
}