Pith Number

pith:VTT5PSP6

pith:1999:VTT5PSP6BFEDCXUFYXLMNPKYVD

not attested not anchored not stored refs pending

On a Result of Atkin and Lehner

David Carlton

arxiv:math/9903131 v1 · 1999-03-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTT5PSP6BFEDCXUFYXLMNPKYVD}

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.

Cited by

1 paper in Pith

Defining newforms in characteristic $p$

Receipt and verification

First computed	2026-07-04T14:41:05.630673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace7d7c9fe0948315e85c5d6c6bd58a8ccc05e9384ee71eedfcebd5e9775a89e

Aliases

arxiv: math/9903131 · arxiv_version: math/9903131v1 · doi: 10.48550/arxiv.math/9903131 · pith_short_12: VTT5PSP6BFED · pith_short_16: VTT5PSP6BFEDCXUF · pith_short_8: VTT5PSP6

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/VTT5PSP6BFEDCXUFYXLMNPKYVD \
  | 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: ace7d7c9fe0948315e85c5d6c6bd58a8ccc05e9384ee71eedfcebd5e9775a89e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ab7a7a84b0e04fe92642188b28f144a22c4ce6ca4a529296e44b5389b57f61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-03-22T23:54:52Z",
    "title_canon_sha256": "2cc4b61fc603a8a99d4fb3a0a1072015a8bcfc0fcc38c76cb478fdf90ed60915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903131",
    "kind": "arxiv",
    "version": 1
  }
}