Pith Number

pith:FR5ARQT2

pith:2012:FR5ARQT2ZOJEN6AKGUGLNTMDCM

not attested not anchored not stored refs pending

Continuous percolation phase transitions of random networks under a generalized Achlioptas process

Jingfang Fan, Liangsheng Li, Maoxin Liu, Xiaosong Chen

arxiv:1201.2507 v1 · 2012-01-12 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FR5ARQT2ZOJEN6AKGUGLNTMDCM}

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	2026-05-18T04:04:44.287658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7a08c27acb9246f80a350cb6cd831308130e708fbd7db461c2d8c5d15dddd6

Aliases

arxiv: 1201.2507 · arxiv_version: 1201.2507v1 · doi: 10.48550/arxiv.1201.2507 · pith_short_12: FR5ARQT2ZOJE · pith_short_16: FR5ARQT2ZOJEN6AK · pith_short_8: FR5ARQT2

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/FR5ARQT2ZOJEN6AKGUGLNTMDCM \
  | 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: 2c7a08c27acb9246f80a350cb6cd831308130e708fbd7db461c2d8c5d15dddd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8e53e4c795d733224933079b09b61d6d3ce382a4841ea6486400b95a8824e8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-01-12T09:04:56Z",
    "title_canon_sha256": "25f5c9b19b5aebdabcabc0c3a2572a3364cff83959ff5465f5db2dbb7ec88cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2507",
    "kind": "arxiv",
    "version": 1
  }
}