Pith Number

pith:7UX52TSV

pith:2010:7UX52TSV34BYT7DF4JKXVWHWHZ

not attested not anchored not stored refs pending

Notes On U(1) Instanton Counting On $A_{l-1}$ ALE Spaces

Haitao Liu

arxiv:1009.3324 v2 · 2010-09-17 · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UX52TSV34BYT7DF4JKXVWHWHZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:37:10.030099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2fdd4e55df0389fc65e2557ad8f63e4101a1a191acac52e14ccc66805da76a

Aliases

arxiv: 1009.3324 · arxiv_version: 1009.3324v2 · doi: 10.48550/arxiv.1009.3324 · pith_short_12: 7UX52TSV34BY · pith_short_16: 7UX52TSV34BYT7DF · pith_short_8: 7UX52TSV

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/7UX52TSV34BYT7DF4JKXVWHWHZ \
  | 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: fd2fdd4e55df0389fc65e2557ad8f63e4101a1a191acac52e14ccc66805da76a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a9e5f7cda8a909c66ee6208c1fb038ce0f1737e94d90d13119a239b5b184f6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-09-17T03:31:03Z",
    "title_canon_sha256": "14745333d387f4c3fde5457ec70c0d2668092fb476d7e6115f90e1c51e9a603e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3324",
    "kind": "arxiv",
    "version": 2
  }
}