Pith Number

pith:ADPIHLLH

pith:2015:ADPIHLLH6XXBPV7R5JQBAVH6BQ

not attested not anchored not stored refs pending

Fourier duality of quantum curves

Albert Schwarz, Martin Luu

arxiv:1504.01582 v2 · 2015-04-07 · math-ph · hep-th · math.AG · math.MP · 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{ADPIHLLH6XXBPV7R5JQBAVH6BQ}

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	2026-05-18T01:24:38.400549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00de83ad67f5ee17d7f1ea601054fe0c1ae974042b2568626c6e9b70ab8b58df

Aliases

arxiv: 1504.01582 · arxiv_version: 1504.01582v2 · doi: 10.48550/arxiv.1504.01582 · pith_short_12: ADPIHLLH6XXB · pith_short_16: ADPIHLLH6XXBPV7R · pith_short_8: ADPIHLLH

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/ADPIHLLH6XXBPV7R5JQBAVH6BQ \
  | 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: 00de83ad67f5ee17d7f1ea601054fe0c1ae974042b2568626c6e9b70ab8b58df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa54f529eaa48cf38a0537546fb1c087dc1cab365c43c78419d26b7c5838f0bb",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-07T12:43:33Z",
    "title_canon_sha256": "1b0748529127acf493957ba6c89f1019bc8255e456e7e2332de21f91f6d55777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01582",
    "kind": "arxiv",
    "version": 2
  }
}