Pith Number

pith:Q7ZUFSXI

pith:2019:Q7ZUFSXIC5SXYRNWTL56PO34XG

not attested not anchored not stored refs pending

Refined scattering diagrams and theta functions from asymptotic analysis of Maurer-Cartan equations

Matthew B. Young, Naichung Conan Leung, Ziming Nikolas Ma

arxiv:1902.05765 v2 · 2019-02-15 · math.AG · math.DG · 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{Q7ZUFSXIC5SXYRNWTL56PO34XG}

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	2026-05-17T23:50:04.532530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87f342cae817657c45b69afbe7bb7cb9b930ac01ec14e1300ee5cb28f71a52eb

Aliases

arxiv: 1902.05765 · arxiv_version: 1902.05765v2 · doi: 10.48550/arxiv.1902.05765 · pith_short_12: Q7ZUFSXIC5SX · pith_short_16: Q7ZUFSXIC5SXYRNW · pith_short_8: Q7ZUFSXI

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/Q7ZUFSXIC5SXYRNWTL56PO34XG \
  | 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: 87f342cae817657c45b69afbe7bb7cb9b930ac01ec14e1300ee5cb28f71a52eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4ba50ee046c2f345468d7ff611c99c40659e7b4c383c1ab24e3a2ea44a1b82",
    "cross_cats_sorted": [
      "math.DG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-15T11:02:14Z",
    "title_canon_sha256": "47135eff893a88e46c9e3c69f2f87734a9e3a3ca02dc70dc5d94e0c606546971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05765",
    "kind": "arxiv",
    "version": 2
  }
}