Pith Number

pith:OLO474S4

pith:2025:OLO474S4QW27DBHNOT72JRZMX2

not attested not anchored not stored refs pending

A primer on measures of irrationality

Nathan Chen, Olivier Martin

arxiv:2509.03783 v1 · 2025-09-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLO474S4QW27DBHNOT72JRZMX2}

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	2026-07-05T12:04:46.002486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ddcff25c85b5f184ed74ffa4c72cbe9757eeac2b5eda3fb02b2e0177bad905

Aliases

arxiv: 2509.03783 · arxiv_version: 2509.03783v1 · doi: 10.48550/arxiv.2509.03783 · pith_short_12: OLO474S4QW27 · pith_short_16: OLO474S4QW27DBHN · pith_short_8: OLO474S4

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/OLO474S4QW27DBHNOT72JRZMX2 \
  | 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: 72ddcff25c85b5f184ed74ffa4c72cbe9757eeac2b5eda3fb02b2e0177bad905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d70b13726745862760a0dec664c7a3d1264dc3ea3e51fef4d00a1d7205bb8201",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-04T00:31:25Z",
    "title_canon_sha256": "63890476969ab6c84a2b54e5882755628cdb2b6ad28ac844f0c93b108b133ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03783",
    "kind": "arxiv",
    "version": 1
  }
}