Pith Number

pith:CPNX34XB

pith:2015:CPNX34XBSYUK6U3MM6B4NOJYAI

not attested not anchored not stored refs pending

$L_p$ regular sparse hypergraphs

Pandelis Dodos, Thodoris Karageorgos, Vassilis Kanellopoulos

arxiv:1510.07139 v4 · 2015-10-24 · math.CO · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPNX34XBSYUK6U3MM6B4NOJYAI}

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	2026-05-18T00:22:40.526923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13db7df2e19628af536c6783c6b938021de78583ab26e9187f3c24dab2abff06

Aliases

arxiv: 1510.07139 · arxiv_version: 1510.07139v4 · doi: 10.48550/arxiv.1510.07139 · pith_short_12: CPNX34XBSYUK · pith_short_16: CPNX34XBSYUK6U3M · pith_short_8: CPNX34XB

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/CPNX34XBSYUK6U3MM6B4NOJYAI \
  | 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: 13db7df2e19628af536c6783c6b938021de78583ab26e9187f3c24dab2abff06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "120bba7dbe65587badb36408853b3c1555b6e52edcb4740d11fd2d5a50105982",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-24T12:41:22Z",
    "title_canon_sha256": "ec9a67fe246411ea824054b1b27af1443a3d5325bfdb59f6efea885bd5472bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07139",
    "kind": "arxiv",
    "version": 4
  }
}