Pith Number

pith:DPC2VJBS

pith:2019:DPC2VJBSMFRYFWTLUIODFQ2ONM

not attested not anchored not stored refs pending

Liouville dynamical percolation

Avelio Sep\'ulveda, Christophe Garban, Nina Holden, Xin Sun

arxiv:1905.06940 v2 · 2019-05-16 · math.PR · 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{DPC2VJBSMFRYFWTLUIODFQ2ONM}

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	2026-05-17T23:45:51.450666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc5aaa432616382da6ba21c32c34e6b3c94c437d9f8f355ce82d83fd6c43325

Aliases

arxiv: 1905.06940 · arxiv_version: 1905.06940v2 · doi: 10.48550/arxiv.1905.06940 · pith_short_12: DPC2VJBSMFRY · pith_short_16: DPC2VJBSMFRYFWTL · pith_short_8: DPC2VJBS

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/DPC2VJBSMFRYFWTLUIODFQ2ONM \
  | 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: 1bc5aaa432616382da6ba21c32c34e6b3c94c437d9f8f355ce82d83fd6c43325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db664de850873d2f9388150f117052c88ba35802ea1912d3a37331843d54ca5e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-16T17:58:33Z",
    "title_canon_sha256": "a768ab16e5459f5af5e41ff892501bc209a91b151308bf70b795853d199518b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.06940",
    "kind": "arxiv",
    "version": 2
  }
}