Pith Number

pith:O3GURNKH

pith:2026:O3GURNKHZPBTBFQWI6KQ4OSNUO

not attested not anchored not stored refs pending

Paradoxes Are Not Contradictions: Re-examining the Third Mathematical Crisis

H. Y. Yuan

arxiv:2607.17306 v1 · 2026-07-19 · 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{O3GURNKHZPBTBFQWI6KQ4OSNUO}

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	2026-07-21T01:21:26.401922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76cd48b547cbc330961647950e3a4da39e7fa5649bb254987087cfd3d20df81e

Aliases

arxiv: 2607.17306 · arxiv_version: 2607.17306v1 · doi: 10.48550/arxiv.2607.17306 · pith_short_12: O3GURNKHZPBT · pith_short_16: O3GURNKHZPBTBFQW · pith_short_8: O3GURNKH

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/O3GURNKHZPBTBFQWI6KQ4OSNUO \
  | 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: 76cd48b547cbc330961647950e3a4da39e7fa5649bb254987087cfd3d20df81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae9ddc00c9d3d1fb3411a1249b62b0fd1cf0d6f247178ed0f0035eeb3fdab11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-19T15:44:38Z",
    "title_canon_sha256": "fb7dc212060dc7c7e585d50db41278635a70e80911f3ce70695f2a25d363642b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17306",
    "kind": "arxiv",
    "version": 1
  }
}