Pith Number

pith:PD2UNBPM

pith:2013:PD2UNBPM2XJJ22IIIGHHVZKW5U

not attested not anchored not stored refs pending

Graphs of finite measure

Agelos Georgakopoulos, Daniel Lenz, Matthias Keller, Rados{\l}aw K. Wojciechowski, Sebastian Haeseler

arxiv:1309.3501 v1 · 2013-09-13 · math.MG · math.FA · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PD2UNBPM2XJJ22IIIGHHVZKW5U}

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	2026-05-18T03:13:22.412150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f54685ecd5d29d6908418e7ae556ed31adb0e0386b43baa83b0f490b83c483

Aliases

arxiv: 1309.3501 · arxiv_version: 1309.3501v1 · doi: 10.48550/arxiv.1309.3501 · pith_short_12: PD2UNBPM2XJJ · pith_short_16: PD2UNBPM2XJJ22II · pith_short_8: PD2UNBPM

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/PD2UNBPM2XJJ22IIIGHHVZKW5U \
  | 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: 78f54685ecd5d29d6908418e7ae556ed31adb0e0386b43baa83b0f490b83c483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda9125de47d538a1dbc80b6f11ef5f82e2f988ff7a33518859c7189f99ba70a",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-09-13T16:29:30Z",
    "title_canon_sha256": "b5b721f4b7838dab0e1796e5212a5b51e8f2ef7d4d6c014a5578ff3a414e67e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3501",
    "kind": "arxiv",
    "version": 1
  }
}