Pith Number

pith:QIV2QYQW

pith:2017:QIV2QYQW3RY2DRUSEXU7DINRAZ

not attested not anchored not stored refs pending

A Grothendieck-Lefschetz theorem for equivariant Picard groups

Charanya Ravi

arxiv:1712.07839 v1 · 2017-12-21 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIV2QYQW3RY2DRUSEXU7DINRAZ}

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	2026-05-18T00:27:29.629665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

822ba86216dc71a1c69225e9f1a1b106544345426e03278268ac9aca430179c2

Aliases

arxiv: 1712.07839 · arxiv_version: 1712.07839v1 · doi: 10.48550/arxiv.1712.07839 · pith_short_12: QIV2QYQW3RY2 · pith_short_16: QIV2QYQW3RY2DRUS · pith_short_8: QIV2QYQW

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/QIV2QYQW3RY2DRUSEXU7DINRAZ \
  | 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: 822ba86216dc71a1c69225e9f1a1b106544345426e03278268ac9aca430179c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6e3ed6c795b49510fcab0f9eac99b273eff3b8cc4b4fa282f2567418a8ba6d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-21T09:08:33Z",
    "title_canon_sha256": "a7aafcf2043f723a5c9edbd653f98792ce4e95307a0a49dfcb583880eb0863e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07839",
    "kind": "arxiv",
    "version": 1
  }
}