Pith Number

pith:555ID7YC

pith:2011:555ID7YCPGHOFGR2WDDRRU3NTO

not attested not anchored not stored refs pending

The Snake Lemma

Franz Lemmermeyer

arxiv:1108.5684 v1 · 2011-08-29 · 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{555ID7YCPGHOFGR2WDDRRU3NTO}

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	2026-05-18T04:14:36.975253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7a81ff02798ee29a3ab0c718d36d9b868bca8c1951906713504effc9333de5

Aliases

arxiv: 1108.5684 · arxiv_version: 1108.5684v1 · doi: 10.48550/arxiv.1108.5684 · pith_short_12: 555ID7YCPGHO · pith_short_16: 555ID7YCPGHOFGR2 · pith_short_8: 555ID7YC

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/555ID7YCPGHOFGR2WDDRRU3NTO \
  | 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: ef7a81ff02798ee29a3ab0c718d36d9b868bca8c1951906713504effc9333de5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b52a73239eaae026670b62abf5d780cdfa6037c2e9fb5894314600232f7e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-29T18:10:06Z",
    "title_canon_sha256": "da9030840a874a8321f596588fe57fd9750ac0438efac20cd466b252aa7be4bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5684",
    "kind": "arxiv",
    "version": 1
  }
}