Pith Number

pith:ZQVC77PW

pith:2011:ZQVC77PWDRYHSWQK4IGZD4FIHJ

not attested not anchored not stored refs pending

Conformal invariance of lattice models

Hugo Duminil-Copin, Stanislav Smirnov

arxiv:1109.1549 v4 · 2011-09-07 · math.PR · math-ph · 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{ZQVC77PWDRYHSWQK4IGZD4FIHJ}

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.

Cited by

1 paper in Pith

Harmonic morphisms and dynamical invariants in network renormalization

Receipt and verification

First computed	2026-05-18T03:53:05.041124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2a2ffdf61c70795a0ae20d91f0a83a6bd295cf3efe8d7e64caf5bfe6229e4a

Aliases

arxiv: 1109.1549 · arxiv_version: 1109.1549v4 · doi: 10.48550/arxiv.1109.1549 · pith_short_12: ZQVC77PWDRYH · pith_short_16: ZQVC77PWDRYHSWQK · pith_short_8: ZQVC77PW

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/ZQVC77PWDRYHSWQK4IGZD4FIHJ \
  | 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: cc2a2ffdf61c70795a0ae20d91f0a83a6bd295cf3efe8d7e64caf5bfe6229e4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f15ca407161edafce2dacd174e89362aaf0ebf794f0cb46b70727e789dc4dea",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-07T19:48:50Z",
    "title_canon_sha256": "484c40dacc342881157f0261737cb6830e132e137e44dc9a47324815cd4ebcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1549",
    "kind": "arxiv",
    "version": 4
  }
}