Pith Number

pith:677CGAS5

pith:2013:677CGAS5CLYNKCYWL6PY7BUBF7

not attested not anchored not stored refs pending

The acquaintance time of (percolated) random geometric graphs

Pawel Pralat, Tobias Muller

arxiv:1312.7170 v1 · 2013-12-27 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{677CGAS5CLYNKCYWL6PY7BUBF7}

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	2026-05-18T03:03:45.599821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fe23025d12f0d50b165f9f8f86812fdc418be095fb484d6f69fabab0fe9aae

Aliases

arxiv: 1312.7170 · arxiv_version: 1312.7170v1 · doi: 10.48550/arxiv.1312.7170 · pith_short_12: 677CGAS5CLYN · pith_short_16: 677CGAS5CLYNKCYW · pith_short_8: 677CGAS5

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/677CGAS5CLYNKCYWL6PY7BUBF7 \
  | 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: f7fe23025d12f0d50b165f9f8f86812fdc418be095fb484d6f69fabab0fe9aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11cee4d01532cf0612f4d71961e7d251a15107c9850f2980cfd3e16b1d361027",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-27T01:48:50Z",
    "title_canon_sha256": "cb9e8d78dac5a1dc3093dc6cee2a314e0a75f7c91f58bafe940a5c7bdbdd0d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7170",
    "kind": "arxiv",
    "version": 1
  }
}