Pith Number

pith:RDRLHNXT

pith:2025:RDRLHNXTABLEKJMSSXJXEMSEQT

not attested not anchored not stored refs pending

Remarks on the Brouwer Conjecture

Oliver Knill

arxiv:2508.07550 v2 · 2025-08-11 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RDRLHNXTABLEKJMSSXJXEMSEQT}

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	2026-07-05T11:53:07.477437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88e2b3b6f3005645259295d372324484e4f81b1d2b2e573ff3b5a8caeb389958

Aliases

arxiv: 2508.07550 · arxiv_version: 2508.07550v2 · doi: 10.48550/arxiv.2508.07550 · pith_short_12: RDRLHNXTABLE · pith_short_16: RDRLHNXTABLEKJMS · pith_short_8: RDRLHNXT

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/RDRLHNXTABLEKJMSSXJXEMSEQT \
  | 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: 88e2b3b6f3005645259295d372324484e4f81b1d2b2e573ff3b5a8caeb389958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0e2599d98140220f9bd6bb8a116066d2fe57fee9b8a68da01c4bbb9b7432d0d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-11T02:13:38Z",
    "title_canon_sha256": "719e7bd7da26bf3325d0a4691a6467c3ae50a722acc7da02aa31b2cae51dd332"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07550",
    "kind": "arxiv",
    "version": 2
  }
}