Pith Number

pith:ZI4GVGLP

pith:2017:ZI4GVGLP3DAPAQFYU3AZBI7NXC

not attested not anchored not stored refs pending

Nonbacktracking expansion of finite graphs

G\'abor Tim\'ar, Jos\'e F. F. Mendes, Rui A. da Costa, Sergey N. Dorogovtsev

arxiv:1702.05380 v2 · 2017-02-02 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZI4GVGLP3DAPAQFYU3AZBI7NXC}

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	2026-05-18T00:45:11.668956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca386a996fd8c0f040b8a6c190a3edb8be494262a78a51a422750574df87d740

Aliases

arxiv: 1702.05380 · arxiv_version: 1702.05380v2 · doi: 10.48550/arxiv.1702.05380 · pith_short_12: ZI4GVGLP3DAP · pith_short_16: ZI4GVGLP3DAPAQFY · pith_short_8: ZI4GVGLP

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/ZI4GVGLP3DAPAQFYU3AZBI7NXC \
  | 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: ca386a996fd8c0f040b8a6c190a3edb8be494262a78a51a422750574df87d740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cca8526401dd12efce82ca80d107c17ea6a9c54959809e580ded88750ec0d82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2017-02-02T22:40:56Z",
    "title_canon_sha256": "5ed767bf4dea7328719a130d8a58449ed45dbac7df2a67b983c0d20ce74e672f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05380",
    "kind": "arxiv",
    "version": 2
  }
}