Pith Number

pith:OHZ3MNXD

pith:2015:OHZ3MNXDMVDGQAVYVGEEPOPUZY

not attested not anchored not stored refs pending

First-passage percolation and local modifications of distances in random triangulations

Jean-Fran\c{c}ois Le Gall, Nicolas Curien

arxiv:1511.04264 v1 · 2015-11-13 · 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{OHZ3MNXDMVDGQAVYVGEEPOPUZY}

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	2026-05-18T01:26:59.264652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f3b636e365466802b8a98847b9f4ce3e3e1153a0121309575fa4698bf8eced

Aliases

arxiv: 1511.04264 · arxiv_version: 1511.04264v1 · doi: 10.48550/arxiv.1511.04264 · pith_short_12: OHZ3MNXDMVDG · pith_short_16: OHZ3MNXDMVDGQAVY · pith_short_8: OHZ3MNXD

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/OHZ3MNXDMVDGQAVYVGEEPOPUZY \
  | 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: 71f3b636e365466802b8a98847b9f4ce3e3e1153a0121309575fa4698bf8eced

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adefbda3ad883920654c8ec877cab70b24d24fe6f978f8d0e4011a3f58f0cb1f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-13T12:45:49Z",
    "title_canon_sha256": "c0953f198989258367497347fdbc0f68c2819691a572d1d4d2311340d7cedf4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04264",
    "kind": "arxiv",
    "version": 1
  }
}