Pith Number

pith:27GYWZZ7

pith:2016:27GYWZZ7Y7CXT5E66EM4YGDP6N

not attested not anchored not stored refs pending

Aspects of Perturbation theory in Quantum Mechanics: The BenderWu Mathematica package

Mithat \"Unsal, Tin Sulejmanpasic

arxiv:1608.08256 v2 · 2016-08-29 · hep-th · hep-lat · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27GYWZZ7Y7CXT5E66EM4YGDP6N}

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

3 papers in Pith

Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics

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

Receipt and verification

First computed	2026-05-18T01:05:10.315900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7cd8b673fc7c579f49ef119cc186ff36e71ce09060154cc6dc98b1e47ac801c

Aliases

arxiv: 1608.08256 · arxiv_version: 1608.08256v2 · doi: 10.48550/arxiv.1608.08256 · pith_short_12: 27GYWZZ7Y7CX · pith_short_16: 27GYWZZ7Y7CXT5E6 · pith_short_8: 27GYWZZ7

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/27GYWZZ7Y7CXT5E66EM4YGDP6N \
  | 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: d7cd8b673fc7c579f49ef119cc186ff36e71ce09060154cc6dc98b1e47ac801c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d999a926dd615b5cbee4795d8a132b3827aa571211e4986d00b7f18e9cbd8b",
    "cross_cats_sorted": [
      "hep-lat",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-29T21:23:32Z",
    "title_canon_sha256": "c5921e73705a759cb977d367e92f3b10e305867b1fa3f1cf4580c8714cd5d0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08256",
    "kind": "arxiv",
    "version": 2
  }
}