Pith Number

pith:W3KPJI32

pith:2013:W3KPJI32VE3X35NL7FWYLNBPGJ

not attested not anchored not stored refs pending

A copositive formulation for the stability number of infinite graphs

Cristian Dobre, Frank Vallentin, Leonhard Frerick, Mirjam D\"ur

arxiv:1305.1819 v3 · 2013-05-08 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3KPJI32VE3X35NL7FWYLNBPGJ}

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	2026-05-18T01:02:46.157635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d4f4a37aa9377df5abf96d85b42f326b0b905e0f99d7567eff635498914d4f

Aliases

arxiv: 1305.1819 · arxiv_version: 1305.1819v3 · doi: 10.48550/arxiv.1305.1819 · pith_short_12: W3KPJI32VE3X · pith_short_16: W3KPJI32VE3X35NL · pith_short_8: W3KPJI32

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/W3KPJI32VE3X35NL7FWYLNBPGJ \
  | 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: b6d4f4a37aa9377df5abf96d85b42f326b0b905e0f99d7567eff635498914d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b7f313f57a4032a6de000e1101aa6a0a3a55194195cca60e560d550ef7c08f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-05-08T13:44:25Z",
    "title_canon_sha256": "f04964b6ef92939cc2971749782a50e4126cd9f3e1b67a8910ce971527d3eb0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1819",
    "kind": "arxiv",
    "version": 3
  }
}