Pith Number

pith:4SLAXWME

pith:2009:4SLAXWMEQ3QP6IS2B5HPOYKM2O

not attested not anchored not stored refs pending

Schemes over $\F_1$ and zeta functions

Alain Connes, Caterina Consani

arxiv:0903.2024 v3 · 2009-03-11 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SLAXWMEQ3QP6IS2B5HPOYKM2O}

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	2026-05-18T03:02:44.723164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4960bd98486e0ff225a0f4ef7614cd3b42a33400bb15fcacc8fd67bdc51f88d

Aliases

arxiv: 0903.2024 · arxiv_version: 0903.2024v3 · doi: 10.48550/arxiv.0903.2024 · pith_short_12: 4SLAXWMEQ3QP · pith_short_16: 4SLAXWMEQ3QP6IS2 · pith_short_8: 4SLAXWME

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/4SLAXWMEQ3QP6IS2B5HPOYKM2O \
  | 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: e4960bd98486e0ff225a0f4ef7614cd3b42a33400bb15fcacc8fd67bdc51f88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "245fde7b558df0e9e0b4cbe83797805a401b045ff369c4ee47887b90e2c04657",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-11T18:02:57Z",
    "title_canon_sha256": "3ef2c2006a24fbf97da8f7f8caf072a1c12ca17573ff6edfe180e5bd3e2ef5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2024",
    "kind": "arxiv",
    "version": 3
  }
}