Pith Number

pith:3ASRWUE2

pith:2007:3ASRWUE2ARA3CPHZQPK2XWASBY

not attested not anchored not stored refs pending

Wavelet sets without groups

Gestur Olafsson, Mihaela Dobrescu

arxiv:0710.3508 v1 · 2007-10-18 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ASRWUE2ARA3CPHZQPK2XWASBY}

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	2026-07-04T15:05:01.245139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8251b509a0441b13cf983d5abd8120e308c84001d5963b85e0fe85b706c211c

Aliases

arxiv: 0710.3508 · arxiv_version: 0710.3508v1 · doi: 10.48550/arxiv.0710.3508 · pith_short_12: 3ASRWUE2ARA3 · pith_short_16: 3ASRWUE2ARA3CPHZ · pith_short_8: 3ASRWUE2

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/3ASRWUE2ARA3CPHZQPK2XWASBY \
  | 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: d8251b509a0441b13cf983d5abd8120e308c84001d5963b85e0fe85b706c211c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f5dacf24b31ce3dc5ecf06472749e17b278aa3567d9d8888e02d5b694638c0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-10-18T13:41:13Z",
    "title_canon_sha256": "e150728f5df8871073469e956105c812d2bbae95ededdf520f3f2218cd346577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3508",
    "kind": "arxiv",
    "version": 1
  }
}