Pith Number

pith:552KU2JA

pith:2014:552KU2JASA5AAZQUZG5QZJ6U24

not attested not anchored not stored refs pending

Spanning rigid subgraph packing and sparse subgraph covering

Xiaofeng Gu

arxiv:1405.0247 v4 · 2014-05-01 · 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{552KU2JASA5AAZQUZG5QZJ6U24}

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	2026-05-18T00:13:22.392781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef74aa6920903a006614c9bb0ca7d4d73538c4c74d154218bd7cb9845e724649

Aliases

arxiv: 1405.0247 · arxiv_version: 1405.0247v4 · doi: 10.48550/arxiv.1405.0247 · pith_short_12: 552KU2JASA5A · pith_short_16: 552KU2JASA5AAZQU · pith_short_8: 552KU2JA

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/552KU2JASA5AAZQUZG5QZJ6U24 \
  | 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: ef74aa6920903a006614c9bb0ca7d4d73538c4c74d154218bd7cb9845e724649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1967a9588d7a8147fdf9b4fe4bfdc942d936f1e98504671028c0ffb54746b19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-01T18:32:21Z",
    "title_canon_sha256": "4e206c40d955e5a29351614f0018d156d23d445d4408b31677e8d59a1db6d72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0247",
    "kind": "arxiv",
    "version": 4
  }
}