Pith Number

pith:7ZCARY3F

pith:2015:7ZCARY3FQDPYI4Y7IC6IIC7Y4M

not attested not anchored not stored refs pending

Generating functions for K-theoretic Donaldson invariants and Le Potier's strange duality

Lothar G\"ottsche, Yao Yuan

arxiv:1512.06648 v1 · 2015-12-21 · 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{7ZCARY3FQDPYI4Y7IC6IIC7Y4M}

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	2026-05-18T01:23:59.950240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4408e36580df84731f40bc840bf8e3345461daefc5c75222021c19e0779465

Aliases

arxiv: 1512.06648 · arxiv_version: 1512.06648v1 · doi: 10.48550/arxiv.1512.06648 · pith_short_12: 7ZCARY3FQDPY · pith_short_16: 7ZCARY3FQDPYI4Y7 · pith_short_8: 7ZCARY3F

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/7ZCARY3FQDPYI4Y7IC6IIC7Y4M \
  | 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: fe4408e36580df84731f40bc840bf8e3345461daefc5c75222021c19e0779465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d931c2769e35a5fa42b66b4ed7bc42dca2fccdd6ac5ef9f6c8fb073bad500ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-21T14:36:54Z",
    "title_canon_sha256": "c272d9e7227efea29a9d9dee23d3a894a2e25c2ecb62f743287cd964dc36b639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06648",
    "kind": "arxiv",
    "version": 1
  }
}