Pith Number

pith:DUVO6EJD

pith:2012:DUVO6EJDRAUC4CJFOWWNIKCHGJ

not attested not anchored not stored refs pending

Monotonicity in first-passage percolation

Jean-Baptiste Gou\'er\'e (MAPMO)

arxiv:1202.2665 v2 · 2012-02-13 · 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{DUVO6EJDRAUC4CJFOWWNIKCHGJ}

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	2026-05-18T03:44:04.567144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2aef112388282e092575acd42847325bca63f5f6725a5480d7dac9d735b19f

Aliases

arxiv: 1202.2665 · arxiv_version: 1202.2665v2 · doi: 10.48550/arxiv.1202.2665 · pith_short_12: DUVO6EJDRAUC · pith_short_16: DUVO6EJDRAUC4CJF · pith_short_8: DUVO6EJD

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/DUVO6EJDRAUC4CJFOWWNIKCHGJ \
  | 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: 1d2aef112388282e092575acd42847325bca63f5f6725a5480d7dac9d735b19f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8aefb06abc2714a88ebf33818a9cc5935fe6fa5c4fbea5a102cf574f4579321",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-13T09:09:35Z",
    "title_canon_sha256": "d589070026f92e037ef91421ff0c55ad30f216ed1c2b14e066609ba43d30fb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2665",
    "kind": "arxiv",
    "version": 2
  }
}