Pith Number

pith:M5LLGFU6

pith:2017:M5LLGFU6KYYEMCQLHWE7NAMIVH

not attested not anchored not stored refs pending

Local Homology, Koszul Homology and Serre Classes

Hossein Faridian, Kamran Divaani-Aazar, Massoud Tousi

arxiv:1701.07727 v2 · 2017-01-26 · 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{M5LLGFU6KYYEMCQLHWE7NAMIVH}

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	2026-05-18T00:17:27.282689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6756b3169e5630460a0b3d89f68188a9ca7c615c85ff42593788749148c3a554

Aliases

arxiv: 1701.07727 · arxiv_version: 1701.07727v2 · doi: 10.48550/arxiv.1701.07727 · pith_short_12: M5LLGFU6KYYE · pith_short_16: M5LLGFU6KYYEMCQL · pith_short_8: M5LLGFU6

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/M5LLGFU6KYYEMCQLHWE7NAMIVH \
  | 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: 6756b3169e5630460a0b3d89f68188a9ca7c615c85ff42593788749148c3a554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5128f086e499c2e87375261545814cd799c4a17e215a36e28066be0d0bf3885e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-26T14:51:56Z",
    "title_canon_sha256": "b509c1f7bef8aa0b61bb67cb852217442836735fec93c05cf27b9faf9f454494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07727",
    "kind": "arxiv",
    "version": 2
  }
}