Pith Number

pith:A6ITDM4I

pith:2010:A6ITDM4IMBOTNHQOHQUBCTPLEG

not attested not anchored not stored refs pending

Mobile Geometric Graphs: Detection, Coverage and Percolation

Alexandre Stauffer, Alistair Sinclair, Perla Sousi, Yuval Peres

arxiv:1008.0075 v2 · 2010-07-31 · math.PR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A6ITDM4IMBOTNHQOHQUBCTPLEG}

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	2026-05-18T04:32:54.490575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

079131b388605d369e0e3c28114deb21996a423d90154c812d75e5254298d99e

Aliases

arxiv: 1008.0075 · arxiv_version: 1008.0075v2 · doi: 10.48550/arxiv.1008.0075 · pith_short_12: A6ITDM4IMBOT · pith_short_16: A6ITDM4IMBOTNHQO · pith_short_8: A6ITDM4I

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/A6ITDM4IMBOTNHQOHQUBCTPLEG \
  | 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: 079131b388605d369e0e3c28114deb21996a423d90154c812d75e5254298d99e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031daf7f13ebd1508a8d75d47193724bc91319ffd5c58b3500f60ffafda25aca",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-31T09:03:55Z",
    "title_canon_sha256": "2ad3345b4f463bbbcc708b70a6823ca05980c05ad54cb4ad2ce018f13b3423de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0075",
    "kind": "arxiv",
    "version": 2
  }
}