Pith Number

pith:CFQWKGG5

pith:2015:CFQWKGG5A2ETCP2UWGJ76EE372

not attested not anchored not stored refs pending

Truncated long-range percolation on oriented graphs

Aernout C. D. van Enter, Bernardo N. B. de Lima, Daniel Valesin

arxiv:1509.02042 v1 · 2015-09-07 · 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{CFQWKGG5A2ETCP2UWGJ76EE372}

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	2026-05-18T01:12:08.065131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11616518dd0689313f54b193ff109bfeab2f5fb377390f04d1cbae52e98274d4

Aliases

arxiv: 1509.02042 · arxiv_version: 1509.02042v1 · doi: 10.48550/arxiv.1509.02042 · pith_short_12: CFQWKGG5A2ET · pith_short_16: CFQWKGG5A2ETCP2U · pith_short_8: CFQWKGG5

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/CFQWKGG5A2ETCP2UWGJ76EE372 \
  | 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: 11616518dd0689313f54b193ff109bfeab2f5fb377390f04d1cbae52e98274d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27bb43f84f14439dacb75cab26044942b26d840a173c95ac22c14bf821fc43de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-07T13:52:22Z",
    "title_canon_sha256": "376ece4434f99cb49735a1880ad2aecae79cec31668d672fca027e34c01331d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02042",
    "kind": "arxiv",
    "version": 1
  }
}