Pith Number

pith:ACXESLC7

pith:2014:ACXESLC7CSBEVCCBIEA5R24LP5

not attested not anchored not stored refs pending

Frobenius Betti numbers and modules of finite projective dimension

Alessandro De Stefani, Craig Huneke, Luis N\'u\~nez-Betancourt

arxiv:1412.4266 v2 · 2014-12-13 · 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{ACXESLC7CSBEVCCBIEA5R24LP5}

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	2026-05-18T01:33:48.931620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ae492c5f14824a88414101d8eb8b7f61ab32e428dcf337c8e4757bfa48f5e8

Aliases

arxiv: 1412.4266 · arxiv_version: 1412.4266v2 · doi: 10.48550/arxiv.1412.4266 · pith_short_12: ACXESLC7CSBE · pith_short_16: ACXESLC7CSBEVCCB · pith_short_8: ACXESLC7

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/ACXESLC7CSBEVCCBIEA5R24LP5 \
  | 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: 00ae492c5f14824a88414101d8eb8b7f61ab32e428dcf337c8e4757bfa48f5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63596fd5d88bac277626e2988336dee00feb0770a3c7063ec60fabd6d9ad3c4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-12-13T18:18:18Z",
    "title_canon_sha256": "ccef077f6691c01e11ce267a1666f86dbceb6dc06f574f8482ab9d49e75f574c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4266",
    "kind": "arxiv",
    "version": 2
  }
}