Pith Number

pith:JF3LZL5I

pith:2012:JF3LZL5IXQITXPXMWQ2AA3RT4J

not attested not anchored not stored refs pending

The universal thickening of the field of real numbers

Alain Connes, Caterina Consani

arxiv:1202.4377 v2 · 2012-02-20 · math.NT · 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{JF3LZL5IXQITXPXMWQ2AA3RT4J}

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	2026-05-18T02:38:17.831250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4976bcafa8bc113bbeecb434006e33e24801c6a8537add3c35c9bc6445f31693

Aliases

arxiv: 1202.4377 · arxiv_version: 1202.4377v2 · doi: 10.48550/arxiv.1202.4377 · pith_short_12: JF3LZL5IXQIT · pith_short_16: JF3LZL5IXQITXPXM · pith_short_8: JF3LZL5I

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/JF3LZL5IXQITXPXMWQ2AA3RT4J \
  | 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: 4976bcafa8bc113bbeecb434006e33e24801c6a8537add3c35c9bc6445f31693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531c69d8303c2757fa45c543c68cbdc0cd00fc9584511766ce1ca0a38e0ea589",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-20T16:51:01Z",
    "title_canon_sha256": "8cec19937a921deb39762b9e2e47394ce95c616d60f73debd2af41ace2dbd474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4377",
    "kind": "arxiv",
    "version": 2
  }
}