Pith Number

pith:ZOHV4DNZ

pith:2013:ZOHV4DNZXU3TIN5P624Q7S4WVW

not attested not anchored not stored refs pending

Relative Homology and Gorenstein Flat Dimension

Diana White, Sean Sather-Wagstaff, Tirdad Sharif

arxiv:1307.3657 v2 · 2013-07-13 · 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{ZOHV4DNZXU3TIN5P624Q7S4WVW}

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	2026-05-18T03:07:03.662705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb8f5e0db9bd373437aff6b90fcb96adbc325ee0b0e83bc5296dc957535466f8

Aliases

arxiv: 1307.3657 · arxiv_version: 1307.3657v2 · doi: 10.48550/arxiv.1307.3657 · pith_short_12: ZOHV4DNZXU3T · pith_short_16: ZOHV4DNZXU3TIN5P · pith_short_8: ZOHV4DNZ

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/ZOHV4DNZXU3TIN5P624Q7S4WVW \
  | 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: cb8f5e0db9bd373437aff6b90fcb96adbc325ee0b0e83bc5296dc957535466f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "819c2b68d22439f77a13f539fb9254e7527cef55d2782b2e4285f0dd8267776a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-13T15:58:42Z",
    "title_canon_sha256": "efc8c30876a94e46329ec183ebf504898a3ad2cea8bd51a5952f2d4e44ac5a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3657",
    "kind": "arxiv",
    "version": 2
  }
}