Pith Number

pith:BX32PSNX

pith:2025:BX32PSNXPS4UN6ZCADEZOJIHHO

not attested not anchored not stored refs pending

Regularity Conditions for Critical Point Convergence

Samuel Davenport, Thomas J. Maullin-Sapey

arxiv:2507.01854 v2 · 2025-07-02 · math.GN · math.PR · 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{BX32PSNXPS4UN6ZCADEZOJIHHO}

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	2026-07-05T11:50:38.099396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df7a7c9b77cb946fb2200c99725073bad86922ea14ae0c7c9fc1d9ad646213b

Aliases

arxiv: 2507.01854 · arxiv_version: 2507.01854v2 · doi: 10.48550/arxiv.2507.01854 · pith_short_12: BX32PSNXPS4U · pith_short_16: BX32PSNXPS4UN6ZC · pith_short_8: BX32PSNX

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/BX32PSNXPS4UN6ZCADEZOJIHHO \
  | 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: 0df7a7c9b77cb946fb2200c99725073bad86922ea14ae0c7c9fc1d9ad646213b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e112ffb0dde4a37536fc6b3247cb04a527b8afd92c1dffa22ad8d5a863158d8b",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2025-07-02T16:09:04Z",
    "title_canon_sha256": "27ca658f4c1e9f82ac08334783bbd1fb17f8efb51858c6358249c1e01c70c1cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01854",
    "kind": "arxiv",
    "version": 2
  }
}