Pith Number

pith:7Y7NOPJY

pith:2011:7Y7NOPJYBPGKSHV754ST5MPOK6

not attested not anchored not stored refs pending

Bogomolov-Gieseker type inequality and counting invariants

Yukinobu Toda

arxiv:1112.3411 v3 · 2011-12-15 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y7NOPJYBPGKSHV754ST5MPOK6}

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

BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

Receipt and verification

First computed	2026-05-18T02:57:53.980455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe3ed73d380bcca91ebfef253eb1ee57b20aaf5219d1cb571ce2894051302825

Aliases

arxiv: 1112.3411 · arxiv_version: 1112.3411v3 · doi: 10.48550/arxiv.1112.3411 · pith_short_12: 7Y7NOPJYBPGK · pith_short_16: 7Y7NOPJYBPGKSHV7 · pith_short_8: 7Y7NOPJY

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/7Y7NOPJYBPGKSHV754ST5MPOK6 \
  | 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: fe3ed73d380bcca91ebfef253eb1ee57b20aaf5219d1cb571ce2894051302825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "926366e3c93f728ef8e227677540dc43da3fcbf6d3381c5dd3792831f3d22979",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-15T02:25:18Z",
    "title_canon_sha256": "3cd4bddc74c37102c6129fd08d2e6f53d4d2f0231d05f0dcff4f574b36f23bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3411",
    "kind": "arxiv",
    "version": 3
  }
}