Pith Number

pith:TAIXSCOA

pith:2026:TAIXSCOAYR22OHFQJ57CVZ3OPZ

not attested not anchored not stored refs pending

Gaussian comparison above the median

Colin B. Fogarty

arxiv:2607.06874 v1 · 2026-07-08 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TAIXSCOAYR22OHFQJ57CVZ3OPZ}

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	2026-07-09T00:19:38.305447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98117909c0c475a71cb04f7e2ae76e7e5f076727d7f3154fabeaed79f6042fd6

Aliases

arxiv: 2607.06874 · arxiv_version: 2607.06874v1 · doi: 10.48550/arxiv.2607.06874 · pith_short_12: TAIXSCOAYR22 · pith_short_16: TAIXSCOAYR22OHFQ · pith_short_8: TAIXSCOA

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/TAIXSCOAYR22OHFQJ57CVZ3OPZ \
  | 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: 98117909c0c475a71cb04f7e2ae76e7e5f076727d7f3154fabeaed79f6042fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0af91f1914308072b297d83c03611129c469b54af36bf98c984cf8af6b38fc0d",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-08T00:13:20Z",
    "title_canon_sha256": "75f8feb60af25984d4e5e57bf936cc580b8e473dba92fa6653b7d9d7c7c8eec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06874",
    "kind": "arxiv",
    "version": 1
  }
}