Pith Number

pith:LV5PS7NQ

pith:2017:LV5PS7NQR6B33RFGOUXVZ4AIWU

not attested not anchored not stored refs pending

The wall-crossing formula and Lagrangian mutations

Dmitry Tonkonog, James Pascaleff

arxiv:1711.03209 v3 · 2017-11-08 · math.SG · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LV5PS7NQR6B33RFGOUXVZ4AIWU}

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	2026-05-18T00:08:36.290480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7af97db08f83bdc4a6752f5cf008b50f815467a08418eb01857e2728201a39

Aliases

arxiv: 1711.03209 · arxiv_version: 1711.03209v3 · doi: 10.48550/arxiv.1711.03209 · pith_short_12: LV5PS7NQR6B3 · pith_short_16: LV5PS7NQR6B33RFG · pith_short_8: LV5PS7NQ

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/LV5PS7NQR6B33RFGOUXVZ4AIWU \
  | 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: 5d7af97db08f83bdc4a6752f5cf008b50f815467a08418eb01857e2728201a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce0a509463ea6f398838c2fbda875e4ecded2993e80a2c86cd4e5b3ed826a12",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-11-08T23:34:53Z",
    "title_canon_sha256": "7fee76916d231a1fc150f20c2c78181d9b1e4206ced121853275f4b9d1884079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03209",
    "kind": "arxiv",
    "version": 3
  }
}