Pith Number

pith:GZOPWXQC

pith:2015:GZOPWXQCBFYM52Y5TS5SYFSXMF

not attested not anchored not stored refs pending

Geometry of the arithmetic site

Alain Connes, Caterina Consani

arxiv:1502.05580 v1 · 2015-02-19 · 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{GZOPWXQCBFYM52Y5TS5SYFSXMF}

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	2026-05-18T02:26:46.191190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365cfb5e020970ceeb1d9cbb2c16576141ba57e32a4aa0074bf72ee42342f07b

Aliases

arxiv: 1502.05580 · arxiv_version: 1502.05580v1 · doi: 10.48550/arxiv.1502.05580 · pith_short_12: GZOPWXQCBFYM · pith_short_16: GZOPWXQCBFYM52Y5 · pith_short_8: GZOPWXQC

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/GZOPWXQCBFYM52Y5TS5SYFSXMF \
  | 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: 365cfb5e020970ceeb1d9cbb2c16576141ba57e32a4aa0074bf72ee42342f07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14011e0bb6f911949e43574775c80d75cae5bd58c1a4adcbdd36c5bdb7ab67d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-19T14:21:40Z",
    "title_canon_sha256": "6b92d7ebb7b1e3cab98e5fd3d3debe6b4319d36b33d3d35cf61e0248c1ba6400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05580",
    "kind": "arxiv",
    "version": 1
  }
}