Pith Number

pith:3F5FGZ6L

pith:2016:3F5FGZ6L4AMW5JQ47LLWURJWYV

not attested not anchored not stored refs pending

Coalescence of Euclidean geodesics on the Poisson-Delaunay triangulation

Christian Hirsch, David Coupier

arxiv:1603.05171 v1 · 2016-03-16 · 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{3F5FGZ6L4AMW5JQ47LLWURJWYV}

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	2026-05-18T01:18:57.934674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d97a5367cbe0196ea61cfad76a4536c57e4427748787e7bdf151debcd1b53eb5

Aliases

arxiv: 1603.05171 · arxiv_version: 1603.05171v1 · doi: 10.48550/arxiv.1603.05171 · pith_short_12: 3F5FGZ6L4AMW · pith_short_16: 3F5FGZ6L4AMW5JQ4 · pith_short_8: 3F5FGZ6L

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/3F5FGZ6L4AMW5JQ47LLWURJWYV \
  | 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: d97a5367cbe0196ea61cfad76a4536c57e4427748787e7bdf151debcd1b53eb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8198384d85b0c60757a81b6e8e467eb5d7a845fcd309a9655fbca294d56f5c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-16T16:39:59Z",
    "title_canon_sha256": "7d87d429cd56d60dee38321bc7a80ac18909bccf4cc4f4321d0a0415f5a81c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05171",
    "kind": "arxiv",
    "version": 1
  }
}