Pith Number

pith:IMUG3SOR

pith:2016:IMUG3SOR3FMFC2MQMS6GA2CMRW

not attested not anchored not stored refs pending

Stretch Factor of Long Paths in a planar Poisson-Delaunay Triangulation

Nicolas Chenavier, Olivier Devillers

arxiv:1607.05770 v2 · 2016-07-19 · 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{IMUG3SOR3FMFC2MQMS6GA2CMRW}

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	2026-05-18T01:10:42.464754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43286dc9d1d95851699064bc60684c8da937b59ef11e726c581f89650a32dac5

Aliases

arxiv: 1607.05770 · arxiv_version: 1607.05770v2 · doi: 10.48550/arxiv.1607.05770 · pith_short_12: IMUG3SOR3FMF · pith_short_16: IMUG3SOR3FMFC2MQ · pith_short_8: IMUG3SOR

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/IMUG3SOR3FMFC2MQMS6GA2CMRW \
  | 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: 43286dc9d1d95851699064bc60684c8da937b59ef11e726c581f89650a32dac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7a278f80d8484f7b863b02622a240b0fe3c0f5f6fe535328a0d34689ae4d37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-19T22:03:53Z",
    "title_canon_sha256": "1c10a500c414e45e2bdce47c9d8a469c2da2ecf5d29a0dee63b1a83e757a32dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05770",
    "kind": "arxiv",
    "version": 2
  }
}