Pith Number

pith:TXMFJOX3

pith:2026:TXMFJOX3FJ5YXIZ3NT452CTBDK

not attested not anchored not stored refs pending

A finite victory over de Bruijn-Erd\H{o}s in interval discrepancy

Chris Wells, Jared DeLeo, Owen Henderschedt

arxiv:2605.29166 v1 · 2026-05-27 · 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{TXMFJOX3FJ5YXIZ3NT452CTBDK}

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	2026-05-29T01:05:22.067492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd854bafb2a7b8ba33b6cf9dd0a611a9f375ab4e666305a5d9e6b3c475b7035

Aliases

arxiv: 2605.29166 · arxiv_version: 2605.29166v1 · doi: 10.48550/arxiv.2605.29166 · pith_short_12: TXMFJOX3FJ5Y · pith_short_16: TXMFJOX3FJ5YXIZ3 · pith_short_8: TXMFJOX3

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/TXMFJOX3FJ5YXIZ3NT452CTBDK \
  | 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: 9dd854bafb2a7b8ba33b6cf9dd0a611a9f375ab4e666305a5d9e6b3c475b7035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739414fe2d0f7c9ad1f58afe71ae96b26db61638f083c3baebb95418fb3a1f5a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-27T23:06:21Z",
    "title_canon_sha256": "11e0cf27689429b3c8cc7f59ac4f03a57dca4cc7228bdb4a27ca7eef386eaae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29166",
    "kind": "arxiv",
    "version": 1
  }
}