Pith Number

pith:UPTDREWS

pith:2015:UPTDREWSS5N6BIRXWYJKHCLAUW

not attested not anchored not stored refs pending

Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence

Alireza Behtash, Gerald V. Dunne, Mithat Unsal, Thomas Schaefer, Tin Sulejmanpasic

arxiv:1510.03435 v1 · 2015-10-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPTDREWSS5N6BIRXWYJKHCLAUW}

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	2026-05-18T00:43:18.744116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e63892d2975be0a237b612a38960a59a94968f9542ad116c1ccc6e379e9c67

Aliases

arxiv: 1510.03435 · arxiv_version: 1510.03435v1 · doi: 10.48550/arxiv.1510.03435 · pith_short_12: UPTDREWSS5N6 · pith_short_16: UPTDREWSS5N6BIRX · pith_short_8: UPTDREWS

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/UPTDREWSS5N6BIRXWYJKHCLAUW \
  | 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: a3e63892d2975be0a237b612a38960a59a94968f9542ad116c1ccc6e379e9c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e72b15611b9770ffed706910e1223c9aa79457e7b6fefd1ba5b214a30c192ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-12T20:12:54Z",
    "title_canon_sha256": "63f23a6ee4f31f9d32d755fe6c6f1aef03869902af482c43579ba3e290ab886f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03435",
    "kind": "arxiv",
    "version": 1
  }
}