Pith Number

pith:QI75TRW4

pith:2004:QI75TRW4VHIMXLC3MJYR6V2NA6

not attested not anchored not stored refs pending

Rapid decay and Metric Approximation Property

Graham Niblo, Jacek Brodzki

arxiv:math/0403423 v2 · 2004-03-24 · math.GR · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QI75TRW4VHIMXLC3MJYR6V2NA6}

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	2026-05-18T01:05:26.488380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823fd9c6dca9d0cbac5b62711f574d07a1a146a0b025bfa077f7144d9e721942

Aliases

arxiv: math/0403423 · arxiv_version: math/0403423v2 · doi: 10.48550/arxiv.math/0403423 · pith_short_12: QI75TRW4VHIM · pith_short_16: QI75TRW4VHIMXLC3 · pith_short_8: QI75TRW4

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/QI75TRW4VHIMXLC3MJYR6V2NA6 \
  | 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: 823fd9c6dca9d0cbac5b62711f574d07a1a146a0b025bfa077f7144d9e721942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b88709626dfb49032c30a9aa58762dc9902da9503c1cef4c893f5402d6dae2",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-03-24T23:39:35Z",
    "title_canon_sha256": "88456565e689f1d3ba85cec52e2d1d5db82b4dd40a36d75bb7f5af95ede1b09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403423",
    "kind": "arxiv",
    "version": 2
  }
}