Pith Number

pith:A32PJD75

pith:2016:A32PJD75SPEZUVZYK4DJGDB7O2

not attested not anchored not stored refs pending

Holomorphic Anomaly and Quantum Mechanics

Marcos Marino, Santiago Codesido

arxiv:1612.07687 v3 · 2016-12-22 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A32PJD75SPEZUVZYK4DJGDB7O2}

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.

Cited by

2 papers in Pith

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence

Receipt and verification

First computed	2026-05-18T00:27:02.786576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f4f48ffd93c99a57385706930c3f76a7a7d21268c1095c29e33a2f620be89c

Aliases

arxiv: 1612.07687 · arxiv_version: 1612.07687v3 · doi: 10.48550/arxiv.1612.07687 · pith_short_12: A32PJD75SPEZ · pith_short_16: A32PJD75SPEZUVZY · pith_short_8: A32PJD75

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/A32PJD75SPEZUVZYK4DJGDB7O2 \
  | 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: 06f4f48ffd93c99a57385706930c3f76a7a7d21268c1095c29e33a2f620be89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952c0bdd578af4920707d055553b36ea1eb31c98c24aba1429cc9152cd4d68de",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-22T16:37:31Z",
    "title_canon_sha256": "783837f5afebaa181da5587854256516740f97da0df76f866b3a6b4e994d7d34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07687",
    "kind": "arxiv",
    "version": 3
  }
}