Pith Number

pith:Q5YKEHQ7

pith:2010:Q5YKEHQ77UKXPHJ62Z5PXLC3LC

not attested not anchored not stored refs pending

Analytic results for the percolation transitions of the enhanced binary tree

Petter Minnhagen, Seung Ki Baek

arxiv:1003.6012 v2 · 2010-03-31 · 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{Q5YKEHQ77UKXPHJ62Z5PXLC3LC}

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	2026-05-18T02:24:25.676324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8770a21e1ffd15779d3ed67afbac5b58a5611a6ba9841f3dd954b881d29e8595

Aliases

arxiv: 1003.6012 · arxiv_version: 1003.6012v2 · doi: 10.48550/arxiv.1003.6012 · pith_short_12: Q5YKEHQ77UKX · pith_short_16: Q5YKEHQ77UKXPHJ6 · pith_short_8: Q5YKEHQ7

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/Q5YKEHQ77UKXPHJ62Z5PXLC3LC \
  | 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: 8770a21e1ffd15779d3ed67afbac5b58a5611a6ba9841f3dd954b881d29e8595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d6b64220bf37cde6e999906db4ecc6f5a36a7175730b62a6705de8ae310d730",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-03-31T10:33:29Z",
    "title_canon_sha256": "990871bc03e35f3bfb14f714917b3a50264b697d9f139be3d94624d1bc185eac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.6012",
    "kind": "arxiv",
    "version": 2
  }
}