Pith Number

pith:PNRU4QLO

pith:2025:PNRU4QLOUPQGOW5YVVTXF6WRFD

not attested not anchored not stored refs pending

The Torelli locus and Newton polygons

Rachel Pries

arxiv:2509.00998 v1 · 2025-08-31 · math.AG · 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{PNRU4QLOUPQGOW5YVVTXF6WRFD}

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	2026-07-05T12:02:52.005408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b634e416ea3e0675bb8ad6772fad128eebae05a0b6e9de177d7187f7c12fa91

Aliases

arxiv: 2509.00998 · arxiv_version: 2509.00998v1 · doi: 10.48550/arxiv.2509.00998 · pith_short_12: PNRU4QLOUPQG · pith_short_16: PNRU4QLOUPQGOW5Y · pith_short_8: PNRU4QLO

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/PNRU4QLOUPQGOW5YVVTXF6WRFD \
  | 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: 7b634e416ea3e0675bb8ad6772fad128eebae05a0b6e9de177d7187f7c12fa91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd0696559f1d480f20688b2b16361410cc1bb13f19cc8eda61f284e22132296",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-31T21:21:02Z",
    "title_canon_sha256": "3361a47bbe861f6b698c64d257998089a98ba2eaa99430c7a3fc886013b2958f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00998",
    "kind": "arxiv",
    "version": 1
  }
}