Pith Number

pith:4XCT2RT6

pith:2026:4XCT2RT6DDGYFFDA5LIN65SVEC

not attested not anchored not stored refs pending

$0$-cycles and sheaves on abelian surfaces

Gianluca Pacienza, Giovanni Mongardi, Laura Pertusi

arxiv:2607.16364 v1 · 2026-07-17 · 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{4XCT2RT6DDGYFFDA5LIN65SVEC}

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	2026-07-21T00:20:14.249873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5c53d467e18cd829460ead0df76552090bbfcf26724ad49cb1dbe4917409c3a

Aliases

arxiv: 2607.16364 · arxiv_version: 2607.16364v1 · doi: 10.48550/arxiv.2607.16364 · pith_short_12: 4XCT2RT6DDGY · pith_short_16: 4XCT2RT6DDGYFFDA · pith_short_8: 4XCT2RT6

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/4XCT2RT6DDGYFFDA5LIN65SVEC \
  | 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: e5c53d467e18cd829460ead0df76552090bbfcf26724ad49cb1dbe4917409c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a1e0ea7ba0b277fcbbdfccb9f72c94f6a94e9c4792c5249481a700c2b33aa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-17T13:19:46Z",
    "title_canon_sha256": "fd69e6732c8c7a45ef10be2fd2d5047fc8e6fe1be0fe308dd58cabe0c2a07a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16364",
    "kind": "arxiv",
    "version": 1
  }
}