Pith Number

pith:NZ3CMGOG

pith:2012:NZ3CMGOG5CGSNI7V6CKBQRIU6Q

not attested not anchored not stored refs pending

The Competition for Shortest Paths on Sparse Graphs

Chi Ho Yeung, David Saad

arxiv:1202.0213 v1 · 2012-02-01 · cond-mat.dis-nn · cond-mat.stat-mech · cs.NI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZ3CMGOG5CGSNI7V6CKBQRIU6Q}

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	2026-05-18T03:55:46.550965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e762619c6e88d26a3f5f094184514f41797e0ce3f0b8610a05a5583f66abbca

Aliases

arxiv: 1202.0213 · arxiv_version: 1202.0213v1 · doi: 10.48550/arxiv.1202.0213 · pith_short_12: NZ3CMGOG5CGS · pith_short_16: NZ3CMGOG5CGSNI7V · pith_short_8: NZ3CMGOG

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/NZ3CMGOG5CGSNI7V6CKBQRIU6Q \
  | 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: 6e762619c6e88d26a3f5f094184514f41797e0ce3f0b8610a05a5583f66abbca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581b1b5ded407e2fcf0eabfb961ee96adb34ca5cb7bcab019c6251f243f7b5ea",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.NI",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-02-01T16:56:36Z",
    "title_canon_sha256": "f9e067a4b6b7cd219123622ac2960ee0ce2f728f2e0a7676db32dfc622ea84bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0213",
    "kind": "arxiv",
    "version": 1
  }
}