Pith Number

pith:VKIKKGUO

pith:2003:VKIKKGUOETQI25P4COFVTBEUSM

not attested not anchored not stored refs pending

Finite metric spaces--combinatorics, geometry and algorithms

Nathan Linial

arxiv:math/0304466 v1 · 2003-04-28 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKIKKGUOETQI25P4COFVTBEUSM}

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	2026-07-04T14:37:16.198859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa90a51a8e24e08d75fc138b598494933a53308c3fd758c1ced475aa45d39973

Aliases

arxiv: math/0304466 · arxiv_version: math/0304466v1 · doi: 10.48550/arxiv.math/0304466 · pith_short_12: VKIKKGUOETQI · pith_short_16: VKIKKGUOETQI25P4 · pith_short_8: VKIKKGUO

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/VKIKKGUOETQI25P4COFVTBEUSM \
  | 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: aa90a51a8e24e08d75fc138b598494933a53308c3fd758c1ced475aa45d39973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9773b6f290f8dbf40d63da9e8db45f6738fee3ce8bfd53cd142e7f999f1ea1f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2003-04-28T20:15:30Z",
    "title_canon_sha256": "a7b2316f39b99b77bd8f4c686734ea08ef1c54563959d1aabea59048cf6d2241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304466",
    "kind": "arxiv",
    "version": 1
  }
}