Pith Number

pith:MMJC7CWU

pith:2013:MMJC7CWU6QLJMMTHVB7VVQBVQQ

not attested not anchored not stored refs pending

Polarit\'es d\'efinies par un triangle

Beno\^it Kloeckner (IF)

arxiv:1302.1813 v1 · 2013-02-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMJC7CWU6QLJMMTHVB7VVQBVQQ}

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	2026-05-18T03:34:14.545130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63122f8ad4f416963267a87f5ac035842bb723a6147c0df8ec3042ea769b21a8

Aliases

arxiv: 1302.1813 · arxiv_version: 1302.1813v1 · doi: 10.48550/arxiv.1302.1813 · pith_short_12: MMJC7CWU6QLJ · pith_short_16: MMJC7CWU6QLJMMTH · pith_short_8: MMJC7CWU

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/MMJC7CWU6QLJMMTHVB7VVQBVQQ \
  | 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: 63122f8ad4f416963267a87f5ac035842bb723a6147c0df8ec3042ea769b21a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470b410c86a4b5eaf1e69f711fdf903f17cc134ddc186edaad91a1b362a3fd54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-07T17:49:30Z",
    "title_canon_sha256": "dc3feed24c7dba6acfbe83b058078e91687e8ad9df76ba32dbf77633aa4a7b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1813",
    "kind": "arxiv",
    "version": 1
  }
}