Pith Number

pith:ACFLK3YO

pith:2018:ACFLK3YOPCZ7Y6NK2J7EB26AUX

not attested not anchored not stored refs pending

Local BPS Invariants: Enumerative Aspects and Wall-Crossing

Jinwon Choi, Michel van Garrel, Nobuyoshi Takahashi, Sheldon Katz

arxiv:1804.00679 v2 · 2018-04-02 · 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{ACFLK3YOPCZ7Y6NK2J7EB26AUX}

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	2026-05-18T00:06:20.393432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

008ab56f0e78b3fc79aad27e40ebc0a5f871acf576577d549f52665c29894e9a

Aliases

arxiv: 1804.00679 · arxiv_version: 1804.00679v2 · doi: 10.48550/arxiv.1804.00679 · pith_short_12: ACFLK3YOPCZ7 · pith_short_16: ACFLK3YOPCZ7Y6NK · pith_short_8: ACFLK3YO

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/ACFLK3YOPCZ7Y6NK2J7EB26AUX \
  | 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: 008ab56f0e78b3fc79aad27e40ebc0a5f871acf576577d549f52665c29894e9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b1a552533789bc307f537f969343f94f77185135b1e9639654f84c5c8340d94",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-02T18:06:02Z",
    "title_canon_sha256": "c01b8aabf2ce99133d8e1153a9bb9f543c0c65b9ab8d27d87dd6abf738468f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00679",
    "kind": "arxiv",
    "version": 2
  }
}