Pith Number

pith:COMDEOGG

pith:2016:COMDEOGG6GVBLAPQ3NRP254AFB

not attested not anchored not stored refs pending

Totally acyclic approximations

David A. Jorgensen, Petter A. Bergh, W. Frank Moore

arxiv:1606.07976 v1 · 2016-06-25 · 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{COMDEOGG6GVBLAPQ3NRP254AFB}

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	2026-05-18T01:11:54.052468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13983238c6f1aa1581f0db62fd778028403f4b97e245d10de91849b511bd7886

Aliases

arxiv: 1606.07976 · arxiv_version: 1606.07976v1 · doi: 10.48550/arxiv.1606.07976 · pith_short_12: COMDEOGG6GVB · pith_short_16: COMDEOGG6GVBLAPQ · pith_short_8: COMDEOGG

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/COMDEOGG6GVBLAPQ3NRP254AFB \
  | 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: 13983238c6f1aa1581f0db62fd778028403f4b97e245d10de91849b511bd7886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4172b97bb89b1a84395722ef07b2c72c4f42c72e15e07258e3af8bd8f94d3bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-25T23:30:12Z",
    "title_canon_sha256": "1dfdd8c0e75b1bf97a77709ec5ba4162e1b8ba519f1d03f2c58cfa84ada8c545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07976",
    "kind": "arxiv",
    "version": 1
  }
}