Pith Number

pith:YXQUMHBP

pith:2025:YXQUMHBP6IAUFJ3K5TKYBW33VO

not attested not anchored not stored refs pending

Singularities of base loci on abelian varieties

Giuseppe Pareschi

arxiv:2512.18919 v3 · 2025-12-21 · 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{YXQUMHBP6IAUFJ3K5TKYBW33VO}

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	2026-06-09T02:07:15.886860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5e1461c2ff20142a76aecd580db7bab97988b845647647bb3e52158c3424bfc

Aliases

arxiv: 2512.18919 · arxiv_version: 2512.18919v3 · doi: 10.48550/arxiv.2512.18919 · pith_short_12: YXQUMHBP6IAU · pith_short_16: YXQUMHBP6IAUFJ3K · pith_short_8: YXQUMHBP

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/YXQUMHBP6IAUFJ3K5TKYBW33VO \
  | 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: c5e1461c2ff20142a76aecd580db7bab97988b845647647bb3e52158c3424bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd47c37ad68c9997152e48420806117e5dffc7ae754986778f4f60f285c48f02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-21T23:39:19Z",
    "title_canon_sha256": "b3de93ce107336594738a045b49d86f23c4514dab5e036996ac4d933227a54d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18919",
    "kind": "arxiv",
    "version": 3
  }
}