Pith Number

pith:S2P7CAWU

pith:2013:S2P7CAWUMT6Q7AMOPAJYVVSRN3

not attested not anchored not stored refs pending

The Jamming Constant of Uniform Random Graphs

Matthieu Jonckheere, Paola Bermolen, Pascal Moyal

arxiv:1310.8475 v2 · 2013-10-31 · 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{S2P7CAWUMT6Q7AMOPAJYVVSRN3}

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	2026-05-18T02:19:06.267105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969ff102d464fd0f818e78138ad6516ec5bb9f33cb764642c22fdf02e654035f

Aliases

arxiv: 1310.8475 · arxiv_version: 1310.8475v2 · doi: 10.48550/arxiv.1310.8475 · pith_short_12: S2P7CAWUMT6Q · pith_short_16: S2P7CAWUMT6Q7AMO · pith_short_8: S2P7CAWU

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/S2P7CAWUMT6Q7AMOPAJYVVSRN3 \
  | 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: 969ff102d464fd0f818e78138ad6516ec5bb9f33cb764642c22fdf02e654035f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e7e029e556b68c06cc2719a9b1de693e0931c655797128c02b7b4e6baf119e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-31T12:31:09Z",
    "title_canon_sha256": "69542435c66c20f95f1bf66c5a32979e081ea49a79d8b5e4beeba406a4424253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8475",
    "kind": "arxiv",
    "version": 2
  }
}