Pith Number

pith:2W4H22MA

pith:2013:2W4H22MARCUQP5DHG3ALTQHKQT

not attested not anchored not stored refs pending

Constrained information transmission on Erd\"os-R\'enyi graphs

Christophe Gallesco, Francis Comets, Marina Vachkovskaia, Serguei Popov

arxiv:1312.3897 v2 · 2013-12-13 · 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{2W4H22MARCUQP5DHG3ALTQHKQT}

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	2026-05-18T01:22:10.681304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b87d698088a907f46736c0b9c0ea84d44c76bdd19b806bc470ad07dc3ba9a7

Aliases

arxiv: 1312.3897 · arxiv_version: 1312.3897v2 · doi: 10.48550/arxiv.1312.3897 · pith_short_12: 2W4H22MARCUQ · pith_short_16: 2W4H22MARCUQP5DH · pith_short_8: 2W4H22MA

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/2W4H22MARCUQP5DHG3ALTQHKQT \
  | 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: d5b87d698088a907f46736c0b9c0ea84d44c76bdd19b806bc470ad07dc3ba9a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b2c2a35d2be334f4bcb41386f7200ba7204bf52fd4bc6b23b5ea65a65baa64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-13T18:24:29Z",
    "title_canon_sha256": "83ac79dcc22db3d3a2c9891eaaf623eaad040641fcb1a17837b5a709c7119bd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3897",
    "kind": "arxiv",
    "version": 2
  }
}