Pith Number

pith:GFA7Q6UZ

pith:2013:GFA7Q6UZLH7R7UL6P2VKQL4F7M

not attested not anchored not stored refs pending

Projective geometry in characteristic one and the epicyclic category

Alain Connes, Caterina Consani

arxiv:1309.0406 v1 · 2013-09-02 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFA7Q6UZLH7R7UL6P2VKQL4F7M}

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	2026-05-18T03:14:27.366055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3141f87a9959ff1fd17e7eaaa82f85fb16b33a9bc5a10a55358ce3e0d37dcecc

Aliases

arxiv: 1309.0406 · arxiv_version: 1309.0406v1 · doi: 10.48550/arxiv.1309.0406 · pith_short_12: GFA7Q6UZLH7R · pith_short_16: GFA7Q6UZLH7R7UL6 · pith_short_8: GFA7Q6UZ

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/GFA7Q6UZLH7R7UL6P2VKQL4F7M \
  | 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: 3141f87a9959ff1fd17e7eaaa82f85fb16b33a9bc5a10a55358ce3e0d37dcecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b729a5819c9d87a602aa3322cff3145fe1d8412133b363a2ab881b68f4c988",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-02T13:51:11Z",
    "title_canon_sha256": "0bba31732e03bfa111f6402d7ccaaca03711109df8e1d5fa94e79845d5440598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0406",
    "kind": "arxiv",
    "version": 1
  }
}