Pith Number

pith:GVM4AKHE

pith:2013:GVM4AKHEA7MPDWOINYVLZJXZBV

not attested not anchored not stored refs pending

Geometry and percolation on half planar triangulations

Gourab Ray

arxiv:1312.3055 v2 · 2013-12-11 · 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{GVM4AKHEA7MPDWOINYVLZJXZBV}

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	2026-05-18T02:50:42.655500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3559c028e407d8f1d9c86e2abca6f90d49baf87233b8138e7602ebecb9c4fe3a

Aliases

arxiv: 1312.3055 · arxiv_version: 1312.3055v2 · doi: 10.48550/arxiv.1312.3055 · pith_short_12: GVM4AKHEA7MP · pith_short_16: GVM4AKHEA7MPDWOI · pith_short_8: GVM4AKHE

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/GVM4AKHEA7MPDWOINYVLZJXZBV \
  | 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: 3559c028e407d8f1d9c86e2abca6f90d49baf87233b8138e7602ebecb9c4fe3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f782f3f7282b2696d5d03d6374867ea4821ec15f07e5d6d2e164c2ba0ae6e864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-11T07:44:19Z",
    "title_canon_sha256": "9044cc663660ed528770c614ffb1d7ace7cdb12e7127ee63d38193c94fe0e33e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3055",
    "kind": "arxiv",
    "version": 2
  }
}