Pith Number

pith:XZ2NUG4E

pith:2016:XZ2NUG4E7ZTXT7VTZPSKSP6FXE

not attested not anchored not stored refs pending

Universal mechanism for hybrid percolation transitions

B. Kahng, Deokjae Lee, J. Kert\'esz, Wonjun Choi

arxiv:1608.00776 v2 · 2016-08-02 · physics.soc-ph · 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{XZ2NUG4E7ZTXT7VTZPSKSP6FXE}

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	2026-05-18T00:38:04.296684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be74da1b84fe6779feb3cbe4a93fc5b93ae37224543c5734f5feeb5f87f939cd

Aliases

arxiv: 1608.00776 · arxiv_version: 1608.00776v2 · doi: 10.48550/arxiv.1608.00776 · pith_short_12: XZ2NUG4E7ZTX · pith_short_16: XZ2NUG4E7ZTXT7VT · pith_short_8: XZ2NUG4E

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/XZ2NUG4E7ZTXT7VTZPSKSP6FXE \
  | 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: be74da1b84fe6779feb3cbe4a93fc5b93ae37224543c5734f5feeb5f87f939cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f111eafa97bf902579b233b9efee063c279f95dad654134dfe2591ff168cf0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-08-02T11:37:26Z",
    "title_canon_sha256": "8057bfc169e2c16d65a318de8a7bee00abdbf959df998b8a4cc47fa06314a7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00776",
    "kind": "arxiv",
    "version": 2
  }
}