Pith Number

pith:M2EXO7WN

pith:2014:M2EXO7WNBBNANLLQXHZ2ZH4IH6

not attested not anchored not stored refs pending

Computing Cup-Products in integral cohomology of Hilbert schemes of points on K3 surfaces

Simon Kapfer

arxiv:1410.8398 v2 · 2014-10-30 · 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{M2EXO7WNBBNANLLQXHZ2ZH4IH6}

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	2026-05-17T23:53:34.649391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6689777ecd085a06ad70b9f3ac9f883fadd25603c28a06217f6c9c1bd812aa61

Aliases

arxiv: 1410.8398 · arxiv_version: 1410.8398v2 · doi: 10.48550/arxiv.1410.8398 · pith_short_12: M2EXO7WNBBNA · pith_short_16: M2EXO7WNBBNANLLQ · pith_short_8: M2EXO7WN

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/M2EXO7WNBBNANLLQXHZ2ZH4IH6 \
  | 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: 6689777ecd085a06ad70b9f3ac9f883fadd25603c28a06217f6c9c1bd812aa61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5527786302ca4e6aabdc005731bfc3ee55cb7bc30f1898dc1690cfc409a452",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-30T15:17:13Z",
    "title_canon_sha256": "93159863d21e8de9243ee373f40d3c27eaad8655a960d6a3311661e4716c6b6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8398",
    "kind": "arxiv",
    "version": 2
  }
}