Pith Number

pith:J7M6UFQF

pith:2026:J7M6UFQF4PLTPBWS3F7BTOATLE

not attested not anchored not stored refs pending

Repeated differentiation of deterministic polynomials with asymptotically radial root distributions

Brian C. Hall, Daniel Perales

arxiv:2607.16954 v1 · 2026-07-18 · math.PR · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7M6UFQF4PLTPBWS3F7BTOATLE}

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	2026-07-21T01:21:07.960984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd9ea1605e3d73786d2d97e19b813590ef816ab9df3c37cf8538e1a7fc67a9a

Aliases

arxiv: 2607.16954 · arxiv_version: 2607.16954v1 · doi: 10.48550/arxiv.2607.16954 · pith_short_12: J7M6UFQF4PLT · pith_short_16: J7M6UFQF4PLTPBWS · pith_short_8: J7M6UFQF

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/J7M6UFQF4PLTPBWS3F7BTOATLE \
  | 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: 4fd9ea1605e3d73786d2d97e19b813590ef816ab9df3c37cf8538e1a7fc67a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a009a48bab2c2ca5999fb67ac5ef7abb00db0002fc777e0fe224741a337421",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-18T20:11:58Z",
    "title_canon_sha256": "7a901917c4017686f17db38a911de437b9d6ccf58ae4e80e5e2e3973bd4c3beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16954",
    "kind": "arxiv",
    "version": 1
  }
}