Pith Number

pith:XNVQ3WE5

pith:2013:XNVQ3WE5TILJNGNG7YPIGJ5N3U

not attested not anchored not stored refs pending

Defensive alliances in graphs: a survey

Ismael Gonz\'alez Yero, Juan A. Rodr\'iguez-Vel\'azquez

arxiv:1308.2096 v1 · 2013-08-09 · 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{XNVQ3WE5TILJNGNG7YPIGJ5N3U}

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	2026-05-18T03:16:18.267582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb6b0dd89d9a169699a6fe1e8327addd1a39a4ca5fbb6e3ada89b6f428207dc1

Aliases

arxiv: 1308.2096 · arxiv_version: 1308.2096v1 · doi: 10.48550/arxiv.1308.2096 · pith_short_12: XNVQ3WE5TILJ · pith_short_16: XNVQ3WE5TILJNGNG · pith_short_8: XNVQ3WE5

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/XNVQ3WE5TILJNGNG7YPIGJ5N3U \
  | 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: bb6b0dd89d9a169699a6fe1e8327addd1a39a4ca5fbb6e3ada89b6f428207dc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fb7569d41cee12666f348b3c27d854ba7953a8d2e7d1a5308a498fc58f4347",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-09T11:47:56Z",
    "title_canon_sha256": "72610702c85c2535db3a8a7d1513fecdda459f684620e6bd9ec9d4e536854864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2096",
    "kind": "arxiv",
    "version": 1
  }
}