Pith Number

pith:GHTZB63C

pith:2022:GHTZB63CJN3AG3XC63Q6RTMRPD

not attested not anchored not stored refs pending

Smooth subvarieties of Jacobians

Olivier Benoist, Olivier Debarre

arxiv:2205.12761 v3 · 2022-05-25 · 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{GHTZB63CJN3AG3XC63Q6RTMRPD}

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	2026-05-20T14:03:15.666697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e790fb624b76036ee2f6e1e8cd9178ea31c60e1d331d93c86789d447bf5d7a

Aliases

arxiv: 2205.12761 · arxiv_version: 2205.12761v3 · doi: 10.48550/arxiv.2205.12761 · pith_short_12: GHTZB63CJN3A · pith_short_16: GHTZB63CJN3AG3XC · pith_short_8: GHTZB63C

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/GHTZB63CJN3AG3XC63Q6RTMRPD \
  | 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: 31e790fb624b76036ee2f6e1e8cd9178ea31c60e1d331d93c86789d447bf5d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e3439e4af7b308c2503dba0f458f830ebde4582408b6331f8ff3a9484e93b7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-05-25T13:24:32Z",
    "title_canon_sha256": "bde29ef40dd699969cc2fd7315901632ead93708563336db9a4b27db3a922a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.12761",
    "kind": "arxiv",
    "version": 3
  }
}