Pith Number

pith:666EQTAH

pith:2018:666EQTAHUX424MGPHKLEJCNXOD

not attested not anchored not stored refs pending

Weak functoriality of Cohen-Macaulay algebras

Yves Andre

arxiv:1801.10010 v3 · 2018-01-30 · 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{666EQTAHUX424MGPHKLEJCNXOD}

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	2026-05-18T00:00:02.280430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7bc484c07a5f9ae30cf3a964489b770ca61a8a604928d21139731fb8d6825de

Aliases

arxiv: 1801.10010 · arxiv_version: 1801.10010v3 · doi: 10.48550/arxiv.1801.10010 · pith_short_12: 666EQTAHUX42 · pith_short_16: 666EQTAHUX424MGP · pith_short_8: 666EQTAH

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/666EQTAHUX424MGPHKLEJCNXOD \
  | 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: f7bc484c07a5f9ae30cf3a964489b770ca61a8a604928d21139731fb8d6825de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c659d28957ae93d006b4c910acee325e4b9553436b81abc5604f80c0beca7d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-01-30T14:33:27Z",
    "title_canon_sha256": "82a6a99631f0f07f4f46b473055aaec92cf320e427e4f66006f30f58dfee2d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10010",
    "kind": "arxiv",
    "version": 3
  }
}