Pith Number

pith:WBODV242

pith:2015:WBODV242B4FVOFJK5HRYIFAD6I

not attested not anchored not stored refs pending

Cycles in the de Rham cohomology of abelian varieties over number fields

Yunqing Tang

arxiv:1510.01357 v3 · 2015-10-05 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBODV242B4FVOFJK5HRYIFAD6I}

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	2026-05-17T23:53:13.581648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05c3aeb9a0f0b57152ae9e3841403f219c5fe2cd4ea16e9fd77b0d530d584af

Aliases

arxiv: 1510.01357 · arxiv_version: 1510.01357v3 · doi: 10.48550/arxiv.1510.01357 · pith_short_12: WBODV242B4FV · pith_short_16: WBODV242B4FVOFJK · pith_short_8: WBODV242

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/WBODV242B4FVOFJK5HRYIFAD6I \
  | 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: b05c3aeb9a0f0b57152ae9e3841403f219c5fe2cd4ea16e9fd77b0d530d584af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a6a94e78601693e66398466f62b0052775220c77c47ead7ec89e5a12160d51",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-05T20:51:20Z",
    "title_canon_sha256": "062cd90df697e423141c704fabe4c884ed2c5b70bc6d31668a5682e2a7b5601e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01357",
    "kind": "arxiv",
    "version": 3
  }
}