Pith Number

pith:W5UB45RZ

pith:2015:W5UB45RZEJTE7C7JLBEFUMLSHZ

not attested not anchored not stored refs pending

$omega_{1}$ under $Pi_{1}$-Collection

Toshiyasu Arai

arxiv:1508.01547 v1 · 2015-08-06 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5UB45RZEJTE7C7JLBEFUMLSHZ}

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	2026-05-18T01:35:39.468163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7681e763922664f8be958485a31723e4cdd5bd3353601ea7913f38d65555806

Aliases

arxiv: 1508.01547 · arxiv_version: 1508.01547v1 · doi: 10.48550/arxiv.1508.01547 · pith_short_12: W5UB45RZEJTE · pith_short_16: W5UB45RZEJTE7C7J · pith_short_8: W5UB45RZ

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/W5UB45RZEJTE7C7JLBEFUMLSHZ \
  | 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: b7681e763922664f8be958485a31723e4cdd5bd3353601ea7913f38d65555806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d22420bb1a127f7d78b687aa83dd92537d3379fcc7c530ae893534b9defeeb11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-06T21:46:19Z",
    "title_canon_sha256": "5950a53a84f6336ae9b82a6aa042a36c54385f831c2d4727dbe29936fbf295a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01547",
    "kind": "arxiv",
    "version": 1
  }
}