Pith Number

pith:7Z4UM2WJ

pith:2003:7Z4UM2WJIOICNS2K3ZHDPVP3FY

not attested not anchored not stored refs pending

Products of special sets of real numbers

Boaz Tsaban, Tomasz Weiss

arxiv:math/0307226 v4 · 2003-07-16 · math.LO · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Z4UM2WJIOICNS2K3ZHDPVP3FY}

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	2026-05-18T04:42:44.960269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe79466ac9439026cb4ade4e37d5fb2e229ecf0aec4d8f664c56b0439eeecb5b

Aliases

arxiv: math/0307226 · arxiv_version: math/0307226v4 · doi: 10.48550/arxiv.math/0307226 · pith_short_12: 7Z4UM2WJIOIC · pith_short_16: 7Z4UM2WJIOICNS2K · pith_short_8: 7Z4UM2WJ

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/7Z4UM2WJIOICNS2K3ZHDPVP3FY \
  | 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: fe79466ac9439026cb4ade4e37d5fb2e229ecf0aec4d8f664c56b0439eeecb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893d4b072c777300eeda6685451991ffb0cb6b169d77008e45450d1954255898",
    "cross_cats_sorted": [
      "math.CO",
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2003-07-16T15:27:45Z",
    "title_canon_sha256": "961e6cf61dababb706f75b773ed3f58c71e989f54b4c5eef388359d73e0b7ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307226",
    "kind": "arxiv",
    "version": 4
  }
}