Pith Number

pith:GPQEWABD

pith:2011:GPQEWABDZLARRDLVIP62KMFMMA

not attested not anchored not stored refs pending

On the arithmetic of the BC-system

Alain Connes, Caterina Consani

arxiv:1103.4672 v1 · 2011-03-24 · math.QA · 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{GPQEWABDZLARRDLVIP62KMFMMA}

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	2026-05-18T04:26:01.114076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e04b0023cac1188d7543fda530ac60082e58b487a7c7c9e1412ee12aa5fcfc

Aliases

arxiv: 1103.4672 · arxiv_version: 1103.4672v1 · doi: 10.48550/arxiv.1103.4672 · pith_short_12: GPQEWABDZLAR · pith_short_16: GPQEWABDZLARRDLV · pith_short_8: GPQEWABD

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/GPQEWABDZLARRDLVIP62KMFMMA \
  | 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: 33e04b0023cac1188d7543fda530ac60082e58b487a7c7c9e1412ee12aa5fcfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7bedf193ebaa7aa72e722e91f7c8826149c83cbf9d910bbfa7c07937f77eb6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-03-24T02:51:44Z",
    "title_canon_sha256": "a8a0df8bc8c566d83dfef4bbc2d093b1aeadc6de50ea32881d54eaf2bdb1c5bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4672",
    "kind": "arxiv",
    "version": 1
  }
}