Pith Number

pith:7H7YLLE6

pith:2020:7H7YLLE6ZFW6UABBG7HQJQWEWK

not attested not anchored not stored refs pending

On the wall-crossing formula for quadratic differentials

Dylan G. L. Allegretti

arxiv:2006.08059 v2 · 2020-06-15 · math.GT · hep-th · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7H7YLLE6ZFW6UABBG7HQJQWEWK}

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	2026-07-05T06:09:02.635453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9ff85ac9ec96dea002137cf04c2c4b28b9b484f5b0f7530837bec9a3027d1ef

Aliases

arxiv: 2006.08059 · arxiv_version: 2006.08059v2 · doi: 10.48550/arxiv.2006.08059 · pith_short_12: 7H7YLLE6ZFW6 · pith_short_16: 7H7YLLE6ZFW6UABB · pith_short_8: 7H7YLLE6

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/7H7YLLE6ZFW6UABBG7HQJQWEWK \
  | 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: f9ff85ac9ec96dea002137cf04c2c4b28b9b484f5b0f7530837bec9a3027d1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112130ada38dc635def4988a481f4f2e42d4dd93736f0ff521d950c4810285cf",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-06-15T00:12:10Z",
    "title_canon_sha256": "23aa1ddecb51734fa25a7f0263f2adbc9c140880b02c42caab158be2fab46972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.08059",
    "kind": "arxiv",
    "version": 2
  }
}