Pith Number

pith:GYFPKALE

pith:2010:GYFPKALERYQJ7WI2ZGRQ4CFD5D

not attested not anchored not stored refs pending

On the delocalized phase of the random pinning model

Jean-Christophe Mourrat

arxiv:1010.4671 v1 · 2010-10-22 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYFPKALERYQJ7WI2ZGRQ4CFD5D}

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	2026-05-18T04:38:57.646507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

360af501648e209fd91ac9a30e08a3e8e7fb02185dbc57e50a35f539af4dedfb

Aliases

arxiv: 1010.4671 · arxiv_version: 1010.4671v1 · doi: 10.48550/arxiv.1010.4671 · pith_short_12: GYFPKALERYQJ · pith_short_16: GYFPKALERYQJ7WI2 · pith_short_8: GYFPKALE

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/GYFPKALERYQJ7WI2ZGRQ4CFD5D \
  | 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: 360af501648e209fd91ac9a30e08a3e8e7fb02185dbc57e50a35f539af4dedfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c371103e5198f4e527809dab59dbd4cc43ba465c37ba800c4a533085995c44e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-22T11:01:34Z",
    "title_canon_sha256": "aba3e7a9667ebf0330fda337d2b7cc79d5d73423ad05a3f22be02ef9713e3634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4671",
    "kind": "arxiv",
    "version": 1
  }
}