Pith Number

pith:MHN37RYD

pith:2004:MHN37RYDOOOMB7UCS2KMP3OKWU

not attested not anchored not stored refs pending

Instantons in Quantum Mechanics and Resurgent Expansions

Jean Zinn-Justin, Ulrich D. Jentschura

arxiv:hep-ph/0405279 v3 · 2004-05-27 · hep-ph · 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{MHN37RYDOOOMB7UCS2KMP3OKWU}

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	2026-05-18T04:16:42.831301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61dbbfc703739cc0fe829694c7edcab50c624aa7fe1421141f641ae8f1698829

Aliases

arxiv: hep-ph/0405279 · arxiv_version: hep-ph/0405279v3 · doi: 10.48550/arxiv.hep-ph/0405279 · pith_short_12: MHN37RYDOOOM · pith_short_16: MHN37RYDOOOMB7UC · pith_short_8: MHN37RYD

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/MHN37RYDOOOMB7UCS2KMP3OKWU \
  | 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: 61dbbfc703739cc0fe829694c7edcab50c624aa7fe1421141f641ae8f1698829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b0ca31af8b16ac45efb4b3f34262d50bf0b4549e6c322c62c8381e051e093e",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-05-27T22:02:37Z",
    "title_canon_sha256": "f4b20ddff78f78353ada532258f9f80bb60dd26480040c227fd2f61916f8d974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0405279",
    "kind": "arxiv",
    "version": 3
  }
}