Pith Number

pith:TQ22GZU5

pith:1999:TQ22GZU5YR2YDV22EW5X53WATY

not attested not anchored not stored refs pending

Donaldson invariants of product ruled surfaces and two-dimensional gauge theories

Carlos Lozano, Marcos Marino

arxiv:hep-th/9907165 v1 · 1999-07-20 · hep-th · 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{TQ22GZU5YR2YDV22EW5X53WATY}

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.

Cited by

1 paper in Pith

Defects, nested instantons and comet shaped quivers

Receipt and verification

First computed	2026-07-04T15:23:18.373608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c35a3669dc47581d75a25bb7eeec09e0fc07a3c6280569dbe903396d62f06ef

Aliases

arxiv: hep-th/9907165 · arxiv_version: hep-th/9907165v1 · doi: 10.48550/arxiv.hep-th/9907165 · pith_short_12: TQ22GZU5YR2Y · pith_short_16: TQ22GZU5YR2YDV22 · pith_short_8: TQ22GZU5

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/TQ22GZU5YR2YDV22EW5X53WATY \
  | 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: 9c35a3669dc47581d75a25bb7eeec09e0fc07a3c6280569dbe903396d62f06ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb8cd7ad38f3aa4e24951c59b0f600c2be4198a88586490d4a06b20c7d324a0a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-07-20T18:30:56Z",
    "title_canon_sha256": "ada4405c68e8ded27070a08584533c00bae11c63dc396aba844300623f177960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9907165",
    "kind": "arxiv",
    "version": 1
  }
}