Pith Number

pith:VJ4GNWBQ

pith:2015:VJ4GNWBQUCHNPQHZOENTSCPD3Q

not attested not anchored not stored refs pending

On the adjacency dimension of graphs

A. Estrada-Moreno, J. A. Rodriguez-Velazquez, Y. Ramirez-Cruz

arxiv:1501.04647 v2 · 2015-01-19 · 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{VJ4GNWBQUCHNPQHZOENTSCPD3Q}

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	2026-05-18T01:29:46.597919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7866d830a08ed7c0f9711b3909e3dc37d9f09a96e3783cbf34772966b4ed7e

Aliases

arxiv: 1501.04647 · arxiv_version: 1501.04647v2 · doi: 10.48550/arxiv.1501.04647 · pith_short_12: VJ4GNWBQUCHN · pith_short_16: VJ4GNWBQUCHNPQHZ · pith_short_8: VJ4GNWBQ

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/VJ4GNWBQUCHNPQHZOENTSCPD3Q \
  | 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: aa7866d830a08ed7c0f9711b3909e3dc37d9f09a96e3783cbf34772966b4ed7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3dfd94efa5c12816a0c606035480f33696c5b8b38a0bdc0a5ba2c8131128e37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-19T21:22:50Z",
    "title_canon_sha256": "6d86a4b3db9fee80e4010d0dd027ad8c1d91139c7722f1657cddc946e336ff0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04647",
    "kind": "arxiv",
    "version": 2
  }
}