Pith Number

pith:I2IEMEZM

pith:2011:I2IEMEZMFQITLW4Q3QPG5XBBCA

not attested not anchored not stored refs pending

The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $1+\sqrt{2}$

Anthony J. Guttmann, Hugo Duminil-Copin, Jan de Gier, Mireille Bousquet-M\'elou, Nicholas R. Beaton

arxiv:1109.0358 v5 · 2011-09-02 · math-ph · cond-mat.stat-mech · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2IEMEZMFQITLW4Q3QPG5XBBCA}

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	2026-05-18T02:00:42.889033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469046132c2c1135db90dc1e6edc21100f79186dc4fe27e1d3971ac2b30cc8fb

Aliases

arxiv: 1109.0358 · arxiv_version: 1109.0358v5 · doi: 10.48550/arxiv.1109.0358 · pith_short_12: I2IEMEZMFQIT · pith_short_16: I2IEMEZMFQITLW4Q · pith_short_8: I2IEMEZM

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/I2IEMEZMFQITLW4Q3QPG5XBBCA \
  | 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: 469046132c2c1135db90dc1e6edc21100f79186dc4fe27e1d3971ac2b30cc8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a6a6b515242b85e678485835a0e594bb69fdfdb29f52914b45895459bab481",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-02T05:07:07Z",
    "title_canon_sha256": "4d3d78ff3f7060479e0e8d1a4ea59655c77632d64f2fcd2827cf73f1585829c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0358",
    "kind": "arxiv",
    "version": 5
  }
}