Pith Number

pith:OPY3Q7UU

pith:2014:OPY3Q7UUQHOIJVRIVNCEJMC3DF

not attested not anchored not stored refs pending

Networks, Random Graphs and Percolation

Mario V. W\"uthrich, Philippe Deprez

arxiv:1409.2339 v1 · 2014-09-08 · 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{OPY3Q7UUQHOIJVRIVNCEJMC3DF}

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	2026-05-18T02:43:17.346804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f1b87e9481dc84d628ab4444b05b1978d243007f7fca9820c2809dfba8c4c7

Aliases

arxiv: 1409.2339 · arxiv_version: 1409.2339v1 · doi: 10.48550/arxiv.1409.2339 · pith_short_12: OPY3Q7UUQHOI · pith_short_16: OPY3Q7UUQHOIJVRI · pith_short_8: OPY3Q7UU

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/OPY3Q7UUQHOIJVRIVNCEJMC3DF \
  | 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: 73f1b87e9481dc84d628ab4444b05b1978d243007f7fca9820c2809dfba8c4c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07cc371df20a664f99694698c8ca1b2391b6315e774d1cee0aabeb039dedf378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-08T13:37:38Z",
    "title_canon_sha256": "847a2c59bbdd3a052af09d5ceb03145c8f824bae37110249f04b95b5dde1c379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2339",
    "kind": "arxiv",
    "version": 1
  }
}