Pith Number

pith:U3URFFZV

pith:2016:U3URFFZVPISQRRMP7WXJZ5TQSO

not attested not anchored not stored refs pending

Tropical methods in the moduli theory of algebraic curves

Lucia Caporaso

arxiv:1606.00323 v3 · 2016-06-01 · 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{U3URFFZVPISQRRMP7WXJZ5TQSO}

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	2026-05-18T01:03:58.905207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e91297357a2508c58ffdae9cf67093b5a64c8463696add9633355b1bf460ab

Aliases

arxiv: 1606.00323 · arxiv_version: 1606.00323v3 · doi: 10.48550/arxiv.1606.00323 · pith_short_12: U3URFFZVPISQ · pith_short_16: U3URFFZVPISQRRMP · pith_short_8: U3URFFZV

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/U3URFFZVPISQRRMP7WXJZ5TQSO \
  | 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: a6e91297357a2508c58ffdae9cf67093b5a64c8463696add9633355b1bf460ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b13146b647c492986d61c49940dc4296767c9f734c2a8984972bbea8d49f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-01T15:12:08Z",
    "title_canon_sha256": "484e4870c7eea01dbfe9ff2433b08ecbd2fa35cd6230c1a76d0c662d61a7d05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00323",
    "kind": "arxiv",
    "version": 3
  }
}