Pith Number

pith:P6OER4E7

pith:2026:P6OER4E74ECNFVIPDVNBIM2PLK

not attested not anchored not stored refs pending

De Rham-Betti Groups of Some Abelian Fourfolds

Zekun Ji

arxiv:2607.23171 v1 · 2026-07-25 · 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{P6OER4E74ECNFVIPDVNBIM2PLK}

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	2026-07-28T01:22:10.457507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f9c48f09fe104d2d50f1d5a14334f5a89db10eb06685461cf589fbdddb35015

Aliases

arxiv: 2607.23171 · arxiv_version: 2607.23171v1 · doi: 10.48550/arxiv.2607.23171 · pith_short_12: P6OER4E74ECN · pith_short_16: P6OER4E74ECNFVIP · pith_short_8: P6OER4E7

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/P6OER4E74ECNFVIPDVNBIM2PLK \
  | 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: 7f9c48f09fe104d2d50f1d5a14334f5a89db10eb06685461cf589fbdddb35015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "420f692cc01a2fcdee20b1b3eedf0431b2ddd3f20e4d4c10ec6d254b7e003b21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-25T11:59:53Z",
    "title_canon_sha256": "897da5ee91b7571b6948ba930dcdda3fcf97ef59e91c8dd894164c2a3f82ae01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23171",
    "kind": "arxiv",
    "version": 1
  }
}