Pith Number

pith:C6YDRVT7

pith:2010:C6YDRVT7IW5HGHOG5TDFHPOPYN

not attested not anchored not stored refs pending

Homological algebra modulo exact zero-divisors

David A. Jorgensen, Olgur Celikbas, Petter Andreas Bergh

arxiv:1012.3010 v2 · 2010-12-14 · 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{C6YDRVT7IW5HGHOG5TDFHPOPYN}

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	2026-05-18T01:28:22.076405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b038d67f45ba731dc6ecc653bdcfc36c55201402dfede2d2102dcbc6ea482a

Aliases

arxiv: 1012.3010 · arxiv_version: 1012.3010v2 · doi: 10.48550/arxiv.1012.3010 · pith_short_12: C6YDRVT7IW5H · pith_short_16: C6YDRVT7IW5HGHOG · pith_short_8: C6YDRVT7

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/C6YDRVT7IW5HGHOG5TDFHPOPYN \
  | 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: 17b038d67f45ba731dc6ecc653bdcfc36c55201402dfede2d2102dcbc6ea482a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b03147ab17798626abf263c32c4e35f40f3f9cbce0d64060aea45e8f950f9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-14T12:58:53Z",
    "title_canon_sha256": "9af2b2b34ffa00b811adee673f5f9e0c9523ff43776688edaa4345ddc58688f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3010",
    "kind": "arxiv",
    "version": 2
  }
}