Pith Number

pith:MMNGYQTH

pith:2016:MMNGYQTHQUS7DTOKLUOA5NLF5X

not attested not anchored not stored refs pending

A conformal bootstrap approach to critical percolation in two dimensions

Marco Picco, Raoul Santachiara, Sylvain Ribault

arxiv:1607.07224 v2 · 2016-07-25 · hep-th · cond-mat.stat-mech · math-ph · 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{MMNGYQTHQUS7DTOKLUOA5NLF5X}

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	2026-05-18T00:18:04.333152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

631a6c42678525f1cdca5d1c0eb565edecfbc4c8fecf370fe79dea60ed1deea1

Aliases

arxiv: 1607.07224 · arxiv_version: 1607.07224v2 · doi: 10.48550/arxiv.1607.07224 · pith_short_12: MMNGYQTHQUS7 · pith_short_16: MMNGYQTHQUS7DTOK · pith_short_8: MMNGYQTH

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/MMNGYQTHQUS7DTOKLUOA5NLF5X \
  | 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: 631a6c42678525f1cdca5d1c0eb565edecfbc4c8fecf370fe79dea60ed1deea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f6f7e19fc8a41d40ab25bfef1010d339299daf153984a3906228d04dfc681f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-07-25T12:00:02Z",
    "title_canon_sha256": "4d5093762c1401c9fa42ff65198a9e35a23bb90f2518f485f7ba780544d04033"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07224",
    "kind": "arxiv",
    "version": 2
  }
}