Pith Number

pith:C725II3K

pith:2011:C725II3KENTLHALMYK4OLJGVP6

not attested not anchored not stored refs pending

Hierarchical renormalization-group study on the planar bond-percolation problem

Petter Minnhagen, Seung Ki Baek

arxiv:1105.1009 v1 · 2011-05-05 · 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{C725II3KENTLHALMYK4OLJGVP6}

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	2026-05-18T04:22:49.460613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f5d4236a2366b3816cc2b8e5a4d57f98a3131da067a18447188b3fdb54e8ec

Aliases

arxiv: 1105.1009 · arxiv_version: 1105.1009v1 · doi: 10.48550/arxiv.1105.1009 · pith_short_12: C725II3KENTL · pith_short_16: C725II3KENTLHALM · pith_short_8: C725II3K

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/C725II3KENTLHALMYK4OLJGVP6 \
  | 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: 17f5d4236a2366b3816cc2b8e5a4d57f98a3131da067a18447188b3fdb54e8ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f445e43f36ebfc21748d70f1d80dbbd995b011f5a05aeba79ed2c14e2d52387",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-05-05T08:16:44Z",
    "title_canon_sha256": "e7c852437064ca32987827fa594c7bb66fb0f9b57685e985ed03a857bb848655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1009",
    "kind": "arxiv",
    "version": 1
  }
}