Pith Number

pith:JESJF55B

pith:2015:JESJF55BYZFYGXTXTQ6PLRSY74

not attested not anchored not stored refs pending

Critical behaviors and universality classes of percolation phase transitions on two-dimensional square lattice

Xiaosong Chen, Xin Zhang, Yong Zhu, Ziqing Yang

arxiv:1504.07712 v1 · 2015-04-29 · 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{JESJF55BYZFYGXTXTQ6PLRSY74}

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	2026-05-18T01:34:23.234678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

492492f7a1c64b835e779c3cf5c658ff1e8eb4a4cf1df2652f017130fdc79bb3

Aliases

arxiv: 1504.07712 · arxiv_version: 1504.07712v1 · doi: 10.48550/arxiv.1504.07712 · pith_short_12: JESJF55BYZFY · pith_short_16: JESJF55BYZFYGXTX · pith_short_8: JESJF55B

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/JESJF55BYZFYGXTXTQ6PLRSY74 \
  | 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: 492492f7a1c64b835e779c3cf5c658ff1e8eb4a4cf1df2652f017130fdc79bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5b4f3a4d9a1ac0a36b922b0fa803e2be835898a46fdfc93c62f8191a780e95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-04-29T03:32:50Z",
    "title_canon_sha256": "fdc0b4a41b8758cdd0e0c6093a7e003d4787308bf0f1852e540ff1324b950873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07712",
    "kind": "arxiv",
    "version": 1
  }
}