Pith Number

pith:2QTM7LA4

pith:2018:2QTM7LA4RIIY2HHRHOZBTX6WQ6

not attested not anchored not stored refs pending

A note on BPS structures and Gopakumar-Vafa invariants

Jacopo Stoppa

arxiv:1812.07454 v2 · 2018-12-18 · 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{2QTM7LA4RIIY2HHRHOZBTX6WQ6}

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	2026-05-17T23:45:22.424429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d426cfac1c8a118d1cf13bb219dfd68784cc9219f05e54d46bbbaa8c8e804e70

Aliases

arxiv: 1812.07454 · arxiv_version: 1812.07454v2 · doi: 10.48550/arxiv.1812.07454 · pith_short_12: 2QTM7LA4RIIY · pith_short_16: 2QTM7LA4RIIY2HHR · pith_short_8: 2QTM7LA4

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/2QTM7LA4RIIY2HHRHOZBTX6WQ6 \
  | 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: d426cfac1c8a118d1cf13bb219dfd68784cc9219f05e54d46bbbaa8c8e804e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b8eaf5629c41825cd05545fb85830cf9003ed6fe0553315f5f1428e8c507e7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-18T16:15:59Z",
    "title_canon_sha256": "1b91da1a894ce12157fa6d5d5ff4df5ecd0c43ad8d7b0af5da2a0d301b0a6415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07454",
    "kind": "arxiv",
    "version": 2
  }
}