Pith Number

pith:PWCZ2VBR

pith:2011:PWCZ2VBRKWKUHHO2YHQXWYYCMG

not attested not anchored not stored refs pending

Generalised interacting self-avoiding trails on the square lattice: phase diagram and critical behaviour

Damien P. Foster

arxiv:1109.1851 v1 · 2011-09-08 · 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{PWCZ2VBRKWKUHHO2YHQXWYYCMG}

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	2026-05-18T02:00:37.580995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d859d54315595439ddac1e17b630261a24f6a463d938151aef580b46cbd600f

Aliases

arxiv: 1109.1851 · arxiv_version: 1109.1851v1 · doi: 10.48550/arxiv.1109.1851 · pith_short_12: PWCZ2VBRKWKU · pith_short_16: PWCZ2VBRKWKUHHO2 · pith_short_8: PWCZ2VBR

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/PWCZ2VBRKWKUHHO2YHQXWYYCMG \
  | 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: 7d859d54315595439ddac1e17b630261a24f6a463d938151aef580b46cbd600f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06136759e32a885df3fbd04d3d9cfdbc014cb61ade3cfd75b45b6f436a244ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-08T22:10:15Z",
    "title_canon_sha256": "33efc39a6e3b25133c358398bf1a00d59d3ef6753b4683c479d17e470a59a441"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1851",
    "kind": "arxiv",
    "version": 1
  }
}