Pith Number

pith:ZB54SNRM

pith:2019:ZB54SNRMIZZ3CMHZ3LXOQFEA5J

not attested not anchored not stored refs pending

Tropicalizing the moduli space of spin curves

Lucia Caporaso, Marco Pacini, Margarida Melo

arxiv:1902.07803 v2 · 2019-02-20 · 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{ZB54SNRMIZZ3CMHZ3LXOQFEA5J}

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	2026-05-17T23:45:51.988856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87bc9362c4673b130f9daeee81480ea7f232139dc09be9aaf489611f815ce43

Aliases

arxiv: 1902.07803 · arxiv_version: 1902.07803v2 · doi: 10.48550/arxiv.1902.07803 · pith_short_12: ZB54SNRMIZZ3 · pith_short_16: ZB54SNRMIZZ3CMHZ · pith_short_8: ZB54SNRM

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/ZB54SNRMIZZ3CMHZ3LXOQFEA5J \
  | 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: c87bc9362c4673b130f9daeee81480ea7f232139dc09be9aaf489611f815ce43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43459241523589b01ad23c3fab3e1f35533a08bcf95751f6d81683928abc2b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-20T22:42:41Z",
    "title_canon_sha256": "93aff0fc61a803686118ba01ae3db147684e3447406fd84b09200d13ddcfb920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07803",
    "kind": "arxiv",
    "version": 2
  }
}