Pith Number

pith:GL5FSDFB

pith:2010:GL5FSDFB6SOQGHBX7BCXJADMRO

not attested not anchored not stored refs pending

Nowhere dense graph classes, stability, and the independence property

Hans Adler, Isolde Adler

arxiv:1011.4016 v1 · 2010-11-17 · math.LO · cs.DM · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GL5FSDFB6SOQGHBX7BCXJADMRO}

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	2026-05-18T04:35:47.221127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32fa590ca1f49d031c37f84574806c8b9ec8c298475579999a4e76dd69d590bd

Aliases

arxiv: 1011.4016 · arxiv_version: 1011.4016v1 · doi: 10.48550/arxiv.1011.4016 · pith_short_12: GL5FSDFB6SOQ · pith_short_16: GL5FSDFB6SOQGHBX · pith_short_8: GL5FSDFB

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/GL5FSDFB6SOQGHBX7BCXJADMRO \
  | 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: 32fa590ca1f49d031c37f84574806c8b9ec8c298475579999a4e76dd69d590bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ea760ed319a4b21bda9b33ced7029e4c8f16b367e36ac47b5faf6917290be5",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-11-17T18:27:24Z",
    "title_canon_sha256": "84cb1be0c40cf4f26e2f77f41a5c950f67399010bbfb0fed06315d6a352d2e3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4016",
    "kind": "arxiv",
    "version": 1
  }
}