Pith Number

pith:XBRE3HP2

pith:2013:XBRE3HP2NLHIVDF7FSELQ666HI

not attested not anchored not stored refs pending

Cycle packing

Benny Sudakov, David Conlon, Jacob Fox

arxiv:1310.0632 v2 · 2013-10-02 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBRE3HP2NLHIVDF7FSELQ666HI}

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	2026-05-18T02:51:23.197691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8624d9dfa6ace8a8cbf2c88b87bde3a0a8bc3d897b282a84455ccfb23ec62aa

Aliases

arxiv: 1310.0632 · arxiv_version: 1310.0632v2 · doi: 10.48550/arxiv.1310.0632 · pith_short_12: XBRE3HP2NLHI · pith_short_16: XBRE3HP2NLHIVDF7 · pith_short_8: XBRE3HP2

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/XBRE3HP2NLHIVDF7FSELQ666HI \
  | 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: b8624d9dfa6ace8a8cbf2c88b87bde3a0a8bc3d897b282a84455ccfb23ec62aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d1baabfb62de3fc7fe6e31b100736b402d4b33a0b6799e24e314a8821e4a3e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-02T09:39:22Z",
    "title_canon_sha256": "e7e4fd1c8848c906a05d98b4048e144b89c04cf7bf45b28c2d01aa1173140c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0632",
    "kind": "arxiv",
    "version": 2
  }
}