Pith Number

pith:7AF4GEL2

pith:2019:7AF4GEL26TQ5HR2SGGUYUBWWOM

not attested not anchored not stored refs pending

Stable structure on safe set problems in vertex-weighted graphs

Boram Park, Shinya Fujita, Tadashi Sakuma

arxiv:1909.02718 v2 · 2019-09-06 · 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{7AF4GEL26TQ5HR2SGGUYUBWWOM}

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	2026-07-05T00:43:03.658155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80bc3117af4e1d3c75231a98a06d67337a4f62ee1cd549a50ab88acb112c292

Aliases

arxiv: 1909.02718 · arxiv_version: 1909.02718v2 · doi: 10.48550/arxiv.1909.02718 · pith_short_12: 7AF4GEL26TQ5 · pith_short_16: 7AF4GEL26TQ5HR2S · pith_short_8: 7AF4GEL2

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/7AF4GEL26TQ5HR2SGGUYUBWWOM \
  | 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: f80bc3117af4e1d3c75231a98a06d67337a4f62ee1cd549a50ab88acb112c292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e78fb601435bd95fd32970d6befc58bdabc33326db93165c4b1ecb35117e40f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-06T05:29:36Z",
    "title_canon_sha256": "e45a4e902b3cd8651434a8eca27d18f0ea23a567c3f66d25b8e9ddb90b60b115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02718",
    "kind": "arxiv",
    "version": 2
  }
}