Pith Number

pith:5BY62DMO

pith:2011:5BY62DMOGULUXL3TLH2LXDINMZ

not attested not anchored not stored refs pending

Calculations with Characteristic Cycles

David B. Massey

arxiv:1101.4304 v2 · 2011-01-22 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BY62DMOGULUXL3TLH2LXDINMZ}

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	2026-05-18T00:58:55.815380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e871ed0d8e35174baf7359f4bb8d0d666c0c9d3f3bd99a79b9bf1fc97e8735b0

Aliases

arxiv: 1101.4304 · arxiv_version: 1101.4304v2 · doi: 10.48550/arxiv.1101.4304 · pith_short_12: 5BY62DMOGULU · pith_short_16: 5BY62DMOGULUXL3T · pith_short_8: 5BY62DMO

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/5BY62DMOGULUXL3TLH2LXDINMZ \
  | 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: e871ed0d8e35174baf7359f4bb8d0d666c0c9d3f3bd99a79b9bf1fc97e8735b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d4aa5c42e61581fe3021843b16c6fb2f24de2262376e20bc9cfea6578c66a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-22T18:13:00Z",
    "title_canon_sha256": "81a5b7af628c568fbe5c71baa908b7d859b64c7fb957ea702e48353f64138993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4304",
    "kind": "arxiv",
    "version": 2
  }
}