Pith Number

pith:S5D574QZ

pith:2025:S5D574QZSORQIOX6DJGPWJHXMY

not attested not anchored not stored refs pending

Wall-crossing formulas via spectral networks

Johannes Horn, Martin M\"oller

arxiv:2508.07727 v1 · 2025-08-11 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5D574QZSORQIOX6DJGPWJHXMY}

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	2026-07-05T11:51:51.214021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9747dff21993a3043afe1a4cfb24f7663406b318956a6d88471b082cffc19913

Aliases

arxiv: 2508.07727 · arxiv_version: 2508.07727v1 · doi: 10.48550/arxiv.2508.07727 · pith_short_12: S5D574QZSORQ · pith_short_16: S5D574QZSORQIOX6 · pith_short_8: S5D574QZ

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/S5D574QZSORQIOX6DJGPWJHXMY \
  | 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: 9747dff21993a3043afe1a4cfb24f7663406b318956a6d88471b082cffc19913

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db465a9c823e155b5027290ec1ee5f12f623e3cbb54034a24516ec427460e34",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-11T07:57:26Z",
    "title_canon_sha256": "d52e6a743ab801c0a0930319000dbf6c3d6290a4d5f0b976e94f7d264a1317ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07727",
    "kind": "arxiv",
    "version": 1
  }
}