Pith Number

pith:YKT6PAB2

pith:2005:YKT6PAB2FJ5ZYF6FOZ647BOYO4

not attested not anchored not stored refs pending

Computable structures of rank omega_1^{CK}

Jessica Millar, Julia Knight

arxiv:math/0508507 v1 · 2005-08-25 · 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{YKT6PAB2FJ5ZYF6FOZ647BOYO4}

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	2026-07-04T14:40:20.249726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2a7e7803a2a7b9c17c5767dcf85d877010f54a0f0c3d16391859d6f098ba859

Aliases

arxiv: math/0508507 · arxiv_version: math/0508507v1 · doi: 10.48550/arxiv.math/0508507 · pith_short_12: YKT6PAB2FJ5Z · pith_short_16: YKT6PAB2FJ5ZYF6F · pith_short_8: YKT6PAB2

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/YKT6PAB2FJ5ZYF6FOZ647BOYO4 \
  | 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: c2a7e7803a2a7b9c17c5767dcf85d877010f54a0f0c3d16391859d6f098ba859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a5c53e9f8d85d7d3bee82fa90d7f98005a6c34245609f59f6a978ba659101b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2005-08-25T13:57:24Z",
    "title_canon_sha256": "ba435f6ce2c8ec75cfcb6cd83bf8447cd291b2ac97c707bd0c632bc45601aca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508507",
    "kind": "arxiv",
    "version": 1
  }
}