Pith Number

pith:YHGXQSW5

pith:2013:YHGXQSW5JOBA67EMDA4MWKRXDE

not attested not anchored not stored refs pending

Decomposition Lemmas

Mark Korenblit, Vadim E. Levit

arxiv:1306.1857 v1 · 2013-06-07 · cs.DM · 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{YHGXQSW5JOBA67EMDA4MWKRXDE}

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	2026-05-18T03:21:23.070935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1cd784add4b820f7c8c1838cb2a37191bdd8ad2cebefde1d85a493b6ae8569c

Aliases

arxiv: 1306.1857 · arxiv_version: 1306.1857v1 · doi: 10.48550/arxiv.1306.1857 · pith_short_12: YHGXQSW5JOBA · pith_short_16: YHGXQSW5JOBA67EM · pith_short_8: YHGXQSW5

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/YHGXQSW5JOBA67EMDA4MWKRXDE \
  | 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: c1cd784add4b820f7c8c1838cb2a37191bdd8ad2cebefde1d85a493b6ae8569c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa1791deba9893257590255046f99c5807de320a4fbd43cbc31c2d686fe3e6cb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-06-07T23:39:39Z",
    "title_canon_sha256": "22abb9615d7b1e3855b7ea16c6750d427a7c28627274ca3910c81569a4cdedd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1857",
    "kind": "arxiv",
    "version": 1
  }
}