Pith Number

pith:NDP7BCPD

pith:2018:NDP7BCPDPMKESLMAH7UG7B4DDS

not attested not anchored not stored refs pending

Wall-crossing for toric mutations

David Nadler

arxiv:1806.01381 v2 · 2018-06-04 · math.SG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDP7BCPDPMKESLMAH7UG7B4DDS}

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	2026-05-18T00:14:03.660075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68dff089e37b14492d803fe86f87831caaa3e024336c95fbd4f1371a9bbcd67a

Aliases

arxiv: 1806.01381 · arxiv_version: 1806.01381v2 · doi: 10.48550/arxiv.1806.01381 · pith_short_12: NDP7BCPDPMKE · pith_short_16: NDP7BCPDPMKESLMA · pith_short_8: NDP7BCPD

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/NDP7BCPDPMKESLMAH7UG7B4DDS \
  | 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: 68dff089e37b14492d803fe86f87831caaa3e024336c95fbd4f1371a9bbcd67a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99bb9e8d7d6c3c5875e0f10626afa1610c39bca8381688852a0b48609e3940a3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-06-04T20:49:41Z",
    "title_canon_sha256": "dd786789f45300df1e3843c6cfb27e603aed77de57f234cf32bca9b03e5a4a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.01381",
    "kind": "arxiv",
    "version": 2
  }
}