Pith Number

pith:D3SHZE2W

pith:2012:D3SHZE2WZ3WO4Q5CSSLF2DHXYZ

not attested not anchored not stored refs pending

Cohen Factorizations: Weak Functoriality and Applications

Saeed Nasseh, Sean Sather-Wagstaff

arxiv:1205.2119 v3 · 2012-05-09 · 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{D3SHZE2WZ3WO4Q5CSSLF2DHXYZ}

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	2026-05-18T03:22:08.133725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ee47c9356ceecee43a294965d0cf7c6437d5353bfc58cea37f9ba8da3925150

Aliases

arxiv: 1205.2119 · arxiv_version: 1205.2119v3 · doi: 10.48550/arxiv.1205.2119 · pith_short_12: D3SHZE2WZ3WO · pith_short_16: D3SHZE2WZ3WO4Q5C · pith_short_8: D3SHZE2W

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/D3SHZE2WZ3WO4Q5CSSLF2DHXYZ \
  | 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: 1ee47c9356ceecee43a294965d0cf7c6437d5353bfc58cea37f9ba8da3925150

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b11b809712cb6bba2073a5d33537804956050a23d228f638cbf594e2dd4fe731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-09T22:53:20Z",
    "title_canon_sha256": "aae019e4d8709120b53938f9d5664a0fe29640ccfe3a6d6ea0add7aeffa21d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2119",
    "kind": "arxiv",
    "version": 3
  }
}