Pith Number

pith:US2RPEUB

pith:2004:US2RPEUBRVFRZVS7BPVJEON55H

not attested not anchored not stored refs pending

A Metric Inequality for the Thompson and Hilbert Geometries

Cormac Walsh, Roger D. Nussbaum

arxiv:math/0405130 v1 · 2004-05-07 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{US2RPEUBRVFRZVS7BPVJEON55H}

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	2026-05-18T04:39:18.624951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b51792818d4b1cd65f0bea9239bde9fd2ffbf57260ed923a3e8ab7178b91c3

Aliases

arxiv: math/0405130 · arxiv_version: math/0405130v1 · doi: 10.48550/arxiv.math/0405130 · pith_short_12: US2RPEUBRVFR · pith_short_16: US2RPEUBRVFRZVS7 · pith_short_8: US2RPEUB

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/US2RPEUBRVFRZVS7BPVJEON55H \
  | 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: a4b51792818d4b1cd65f0bea9239bde9fd2ffbf57260ed923a3e8ab7178b91c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb576255e1836e00d616b3db9793c986017094110e11413803779548ee2ee18",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2004-05-07T16:40:21Z",
    "title_canon_sha256": "b80fb08bf59b3b8d16e933963bcd5f04b66ee6e9cd59ce6a0f1cd1a2edda91b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405130",
    "kind": "arxiv",
    "version": 1
  }
}