Pith Number

pith:G5LQP3SX

pith:2012:G5LQP3SXJKMJQIYPHGCDVDHG54

not attested not anchored not stored refs pending

Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics

Mikhail G. Katz, Thomas Mormann, Vladimir Kanovei

arxiv:1211.0244 v1 · 2012-11-01 · math.FA · math-ph · math.HO · math.LO · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5LQP3SXJKMJQIYPHGCDVDHG54}

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	2026-05-18T03:41:42.600307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375707ee574a9898230f39843a8ce6ef387075e18ebf45b0db8ef04022d75e4e

Aliases

arxiv: 1211.0244 · arxiv_version: 1211.0244v1 · doi: 10.48550/arxiv.1211.0244 · pith_short_12: G5LQP3SXJKMJ · pith_short_16: G5LQP3SXJKMJQIYP · pith_short_8: G5LQP3SX

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/G5LQP3SXJKMJQIYPHGCDVDHG54 \
  | 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: 375707ee574a9898230f39843a8ce6ef387075e18ebf45b0db8ef04022d75e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feb746acd1e82e37156ac3bf86347305fa4f339624e11692b8ab6681ad468f7a",
    "cross_cats_sorted": [
      "math-ph",
      "math.HO",
      "math.LO",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-01T18:08:47Z",
    "title_canon_sha256": "aa52473f8bdaf6ac72bc496c50b19ba6ba028cc4555ca777b4e1d4ce7b05e680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0244",
    "kind": "arxiv",
    "version": 1
  }
}