Pith Number

pith:NXP35K5S

pith:2026:NXP35K5SXJ3VTC2ANW2IBFBYKI

not attested not anchored not stored refs pending

An intrinsically subcritical four-point counterexample

Vignon Oussa

arxiv:2608.07604 v1 · 2026-08-06 · math.CA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NXP35K5SXJ3VTC2ANW2IBFBYKI}

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	2026-08-11T00:15:28.394695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ddfbeabb2ba77598b406db48094385218eed1daaa82961e8f943c8d0105a459

Aliases

arxiv: 2608.07604 · arxiv_version: 2608.07604v1 · doi: 10.48550/arxiv.2608.07604 · pith_short_12: NXP35K5SXJ3V · pith_short_16: NXP35K5SXJ3VTC2A · pith_short_8: NXP35K5S

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/NXP35K5SXJ3VTC2ANW2IBFBYKI \
  | 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: 6ddfbeabb2ba77598b406db48094385218eed1daaa82961e8f943c8d0105a459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e618ad41ce324ae7db2b942983cf8c63dd505b7478e6cae65eb3d5fd70742860",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-06T18:06:37Z",
    "title_canon_sha256": "9012c79b65515c3dcea6616c2c1b574f6d3fd5de9bad87f0c7c889722e3d2e82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07604",
    "kind": "arxiv",
    "version": 1
  }
}