Pith Number

pith:HDDYNAJE

pith:2026:HDDYNAJEMNVS7R6MTAFRYKKWA5

not attested not anchored not stored refs pending

A disproof of the uniform witness conjecture

Zixiang Xu

arxiv:2606.24776 v1 · 2026-06-23 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HDDYNAJEMNVS7R6MTAFRYKKWA5}

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	2026-06-24T01:15:41.978244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c7868124636b2fc7cc980b1c295607626be56a55681fbab530cec1ccce86fc

Aliases

arxiv: 2606.24776 · arxiv_version: 2606.24776v1 · doi: 10.48550/arxiv.2606.24776 · pith_short_12: HDDYNAJEMNVS · pith_short_16: HDDYNAJEMNVS7R6M · pith_short_8: HDDYNAJE

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/HDDYNAJEMNVS7R6MTAFRYKKWA5 \
  | 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: 38c7868124636b2fc7cc980b1c295607626be56a55681fbab530cec1ccce86fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b60b7463d6fe7ee1146cb9d056ddef552274ac76833a8fe3c8b650b130a7b89",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T16:35:12Z",
    "title_canon_sha256": "66fafed4077eef640c81b8db9221ca49bbb3f1062b0c3205f1ae4ee6cd1a4774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24776",
    "kind": "arxiv",
    "version": 1
  }
}