Pith Number

pith:65LCIRSI

pith:2012:65LCIRSIKPVBKBC4AC76JGRQW2

not attested not anchored not stored refs pending

Shattering, Graph Orientations, and Connectivity

Laszlo Kozma, Shay Moran

arxiv:1211.1319 v1 · 2012-11-06 · cs.DS · 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{65LCIRSIKPVBKBC4AC76JGRQW2}

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	2026-05-18T03:41:21.848905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f75624464853ea15045c00bfe49a30b6b3840dcc0fd14ab13167703d885b4ea3

Aliases

arxiv: 1211.1319 · arxiv_version: 1211.1319v1 · doi: 10.48550/arxiv.1211.1319 · pith_short_12: 65LCIRSIKPVB · pith_short_16: 65LCIRSIKPVBKBC4 · pith_short_8: 65LCIRSI

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/65LCIRSIKPVBKBC4AC76JGRQW2 \
  | 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: f75624464853ea15045c00bfe49a30b6b3840dcc0fd14ab13167703d885b4ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa63e253fed63c1dcca041ce2f51be1da22a1fe21fb997321c7cf1bd9c7389d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-11-06T17:36:15Z",
    "title_canon_sha256": "ed938c2b1fa2b89641dfc07c30c46fab10a021a1f2a285d996f630196955d414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1319",
    "kind": "arxiv",
    "version": 1
  }
}