Pith Number

pith:4B5TRMFR

pith:2012:4B5TRMFRARBQ4TLMTAOLWOFCPD

not attested not anchored not stored refs pending

Moduli of sheaves and the Chow group of K3 surfaces

Kieran G. O'Grady

arxiv:1205.4119 v2 · 2012-05-18 · 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{4B5TRMFRARBQ4TLMTAOLWOFCPD}

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	2026-05-18T03:55:11.823269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07b38b0b104430e4d6c981cbb38a278c790698765ec7c41c06261bd82393b9e

Aliases

arxiv: 1205.4119 · arxiv_version: 1205.4119v2 · doi: 10.48550/arxiv.1205.4119 · pith_short_12: 4B5TRMFRARBQ · pith_short_16: 4B5TRMFRARBQ4TLM · pith_short_8: 4B5TRMFR

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/4B5TRMFRARBQ4TLMTAOLWOFCPD \
  | 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: e07b38b0b104430e4d6c981cbb38a278c790698765ec7c41c06261bd82393b9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592771b0c9301261ce790203a02bb1cb1b02b96dc3759eed4b5134f8d54df993",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-18T09:19:07Z",
    "title_canon_sha256": "c1528cd33e4cd79c2a1e5741b248f561003c5d27527a697c91f64dca62e91537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4119",
    "kind": "arxiv",
    "version": 2
  }
}