Pith Number

pith:TVWTYW3X

pith:2012:TVWTYW3XZO22N3BMOVGFGVOSI2

not attested not anchored not stored refs pending

Shortest Path through Random Points

Alfred O. Hero III, Steven B. Damelin, Sung Jin Hwang

arxiv:1202.0045 v5 · 2012-01-31 · 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{TVWTYW3XZO22N3BMOVGFGVOSI2}

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	2026-05-18T01:00:17.378081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6d3c5b77cbb5a6ec2c754c5355d2468e4800cde28c8de78a23eb77a2774d95

Aliases

arxiv: 1202.0045 · arxiv_version: 1202.0045v5 · doi: 10.48550/arxiv.1202.0045 · pith_short_12: TVWTYW3XZO22 · pith_short_16: TVWTYW3XZO22N3BM · pith_short_8: TVWTYW3X

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/TVWTYW3XZO22N3BMOVGFGVOSI2 \
  | 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: 9d6d3c5b77cbb5a6ec2c754c5355d2468e4800cde28c8de78a23eb77a2774d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7078f58c1cee765d4107d9d07c60695956dc783c936c3d73c469be499e7b3e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-31T22:43:00Z",
    "title_canon_sha256": "436eef6fe08f1a4f9098b989efac1856921279da840505c3f37f96675a22c77a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0045",
    "kind": "arxiv",
    "version": 5
  }
}