Pith Number

pith:WRLWPMWT

pith:2001:WRLWPMWTRCINVIORKGPXPNCIDB

not attested not anchored not stored refs pending

Computing Small 1-Homological Models for Commutative Differential Graded Algebras

Beatriz Silva, Jose Andres Armario, Maria Dolores Frau, Maria Jose Jimenez, Pedro Real, Rocio Gonzalez-Diaz, Victor Alvarez

arxiv:math/0110331 v1 · 2001-10-31 · math.AT · math.AC · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRLWPMWTRCINVIORKGPXPNCIDB}

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	2026-05-18T04:21:51.940343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45767b2d38890daa1d1519f77b4481852c3221ad1d994603f35b918324f0c39

Aliases

arxiv: math/0110331 · arxiv_version: math/0110331v1 · doi: 10.48550/arxiv.math/0110331 · pith_short_12: WRLWPMWTRCIN · pith_short_16: WRLWPMWTRCINVIOR · pith_short_8: WRLWPMWT

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/WRLWPMWTRCINVIORKGPXPNCIDB \
  | 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: b45767b2d38890daa1d1519f77b4481852c3221ad1d994603f35b918324f0c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014dfcf8c2834f14bfd66f569a43a8531fa3ae3eab0ea5a1c6cb52f85a1fc968",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-10-31T17:01:36Z",
    "title_canon_sha256": "08eba59415bf70057f9663fba9c389931924902e018fe47c408efd3afa7afaa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110331",
    "kind": "arxiv",
    "version": 1
  }
}