Pith Number

pith:KHSF2OGH

pith:2009:KHSF2OGHY5QSUNPSBBLAYPXR4T

not attested not anchored not stored refs pending

Infinite random geometric graphs

Anthony Bonato, Jeannette Janssen

arxiv:0908.2590 v1 · 2009-08-18 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KHSF2OGHY5QSUNPSBBLAYPXR4T}

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	2026-05-18T03:47:09.093632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51e45d38c7c7612a35f208560c3ef1e4e995ac708efb6b6a68bf104799d0c2dc

Aliases

arxiv: 0908.2590 · arxiv_version: 0908.2590v1 · doi: 10.48550/arxiv.0908.2590 · pith_short_12: KHSF2OGHY5QS · pith_short_16: KHSF2OGHY5QSUNPS · pith_short_8: KHSF2OGH

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/KHSF2OGHY5QSUNPSBBLAYPXR4T \
  | 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: 51e45d38c7c7612a35f208560c3ef1e4e995ac708efb6b6a68bf104799d0c2dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff7514fde90d6632d67f6cc2045f5d219150c56cd94a29195f0402d57741cc9f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-08-18T15:18:44Z",
    "title_canon_sha256": "3f8160906c0cec39f72d57b1d3a5497a80fa2d2acfb06334cc72d6288627577b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2590",
    "kind": "arxiv",
    "version": 1
  }
}