Pith Number

pith:WC6CZFK2

pith:2016:WC6CZFK2K6QQ4Z7ZV6EZCHW6TG

not attested not anchored not stored refs pending

Generic vanishing and minimal cohomology classes on abelian fivefolds

Mihnea Popa, Sebastian Casalaina-Martin, Stefan Schreieder

arxiv:1602.06231 v3 · 2016-02-19 · 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{WC6CZFK2K6QQ4Z7ZV6EZCHW6TG}

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	2026-05-18T00:02:02.420857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0bc2c955a57a10e67f9af89911ede998233491ff1b8bea66deb486c5f60ea63

Aliases

arxiv: 1602.06231 · arxiv_version: 1602.06231v3 · doi: 10.48550/arxiv.1602.06231 · pith_short_12: WC6CZFK2K6QQ · pith_short_16: WC6CZFK2K6QQ4Z7Z · pith_short_8: WC6CZFK2

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/WC6CZFK2K6QQ4Z7ZV6EZCHW6TG \
  | 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: b0bc2c955a57a10e67f9af89911ede998233491ff1b8bea66deb486c5f60ea63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758008120645c2de9dc7289fb8d1add345793f284d1061e0c1429eff97b41a19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-19T17:29:03Z",
    "title_canon_sha256": "a35c48b9d8a086b65650acffc28813682705e46f605a756fe41e50d39c8af460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06231",
    "kind": "arxiv",
    "version": 3
  }
}