Pith Number

pith:IT4JD5K2

pith:2015:IT4JD5K2SB6BYMM6I4JU4IN4PG

not attested not anchored not stored refs pending

Computing the strong alliance polynomial of a graph

Juan Carlos Hernandez-Gomez, Omar Rosario, Walter Carballosa, Yadira Torres-Nunez

arxiv:1507.08654 v1 · 2015-07-30 · 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{IT4JD5K2SB6BYMM6I4JU4IN4PG}

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	2026-05-18T01:36:03.216165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f891f55a907c1c319e47134e21bc79b53457d70c25c865b1310ef01d41c624

Aliases

arxiv: 1507.08654 · arxiv_version: 1507.08654v1 · doi: 10.48550/arxiv.1507.08654 · pith_short_12: IT4JD5K2SB6B · pith_short_16: IT4JD5K2SB6BYMM6 · pith_short_8: IT4JD5K2

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/IT4JD5K2SB6BYMM6I4JU4IN4PG \
  | 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: 44f891f55a907c1c319e47134e21bc79b53457d70c25c865b1310ef01d41c624

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a47669d4cdb879428385be967e9b6ed059ab5c00d59589680c09754c2c1acff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-30T05:30:48Z",
    "title_canon_sha256": "fff79f747e95fa5a7263c341a4ae8d27624d266827982f6432c33cec343fecc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08654",
    "kind": "arxiv",
    "version": 1
  }
}