Pith Number

pith:E6REFN7N

pith:2001:E6REFN7NLPAMVHEBNSAYL3U72V

not attested not anchored not stored refs pending

Relative Lefschetz Action and BPS State Counting

Atsushi Takahashi, Masa-Hiko Saito, Shinobu Hosono

arxiv:math/0105148 v2 · 2001-05-17 · 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{E6REFN7NLPAMVHEBNSAYL3U72V}

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	2026-05-18T00:32:26.393740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a242b7ed5bc0ca9c816c8185ee9fd57483a8a855f0d7223dea9c91aabdfe09

Aliases

arxiv: math/0105148 · arxiv_version: math/0105148v2 · doi: 10.48550/arxiv.math/0105148 · pith_short_12: E6REFN7NLPAM · pith_short_16: E6REFN7NLPAMVHEB · pith_short_8: E6REFN7N

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/E6REFN7NLPAMVHEBNSAYL3U72V \
  | 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: 27a242b7ed5bc0ca9c816c8185ee9fd57483a8a855f0d7223dea9c91aabdfe09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3afb0159d50354031357a627f9fb45049b7c5d3ee3cfd201b02a09e739ea4838",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-05-17T07:55:20Z",
    "title_canon_sha256": "ad096d733cc9be88c49d6a8a55591c6f0e2cdf1d9a33f06cef9e65377259679b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0105148",
    "kind": "arxiv",
    "version": 2
  }
}