Pith Number

pith:NSAEUTMI

pith:2015:NSAEUTMIHR6VWWXIWBTIUDJKTL

not attested not anchored not stored refs pending

Hydras for $\omega_{1}$

Toshiyasu Arai

arxiv:1508.01548 v3 · 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{NSAEUTMIHR6VWWXIWBTIUDJKTL}

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	2026-05-18T00:23:09.691964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c804a4d883c7d5b5ae8b0668a0d2a9af57760195bca001dd12ae6a8262d39c0

Aliases

arxiv: 1508.01548 · arxiv_version: 1508.01548v3 · doi: 10.48550/arxiv.1508.01548 · pith_short_12: NSAEUTMIHR6V · pith_short_16: NSAEUTMIHR6VWWXI · pith_short_8: NSAEUTMI

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/NSAEUTMIHR6VWWXIWBTIUDJKTL \
  | 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: 6c804a4d883c7d5b5ae8b0668a0d2a9af57760195bca001dd12ae6a8262d39c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4d4d61d29a144978a504cc36150cef03a21946817abad6bcc6ad33a2315941f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-08-06T21:53:49Z",
    "title_canon_sha256": "cf2b4c15eaf93dc46714bbeec8be0ff689d42d969cd1f9b02148882966994f88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01548",
    "kind": "arxiv",
    "version": 3
  }
}