Pith Number

pith:7CF7IYJV

pith:2025:7CF7IYJVQB3LLML4DOAMWYPIWI

not attested not anchored not stored refs pending

Tropical geometry in torus bundles

Emily Dodwell

arxiv:2509.02569 v1 · 2025-08-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CF7IYJVQB3LLML4DOAMWYPIWI}

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	2026-07-05T12:03:53.314200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f88bf461358076b5b17c1b80cb61e8b230d5f44e0218bff48f8c3a76ceef1623

Aliases

arxiv: 2509.02569 · arxiv_version: 2509.02569v1 · doi: 10.48550/arxiv.2509.02569 · pith_short_12: 7CF7IYJVQB3L · pith_short_16: 7CF7IYJVQB3LLML4 · pith_short_8: 7CF7IYJV

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/7CF7IYJVQB3LLML4DOAMWYPIWI \
  | 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: f88bf461358076b5b17c1b80cb61e8b230d5f44e0218bff48f8c3a76ceef1623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5153f1778942ee60218704a4326014dcd509684962405b02c1a791d61a2ee337",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-19T17:09:34Z",
    "title_canon_sha256": "0963b7e12d683d24df5210cb6651c2023be3427c0a0124ed98d842204bd22c6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02569",
    "kind": "arxiv",
    "version": 1
  }
}