Pith Number

pith:VJQISOYQ

pith:2015:VJQISOYQIFTNM43AM2ICONSU2F

not attested not anchored not stored refs pending

Three-loop Correction to the Instanton Density. I. The Quartic Double Well Potential

A.V. Turbiner, E. Shuryak, M.A. Escobar-Ruiz

arxiv:1501.03993 v5 · 2015-01-16 · hep-th · hep-ph · math-ph · math.MP · 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{VJQISOYQIFTNM43AM2ICONSU2F}

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.

Receipt and verification

First computed	2026-05-18T01:27:54.491044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa60893b104166d673606690273654d1765bc1fdb4d09418bc0905c0f05a138b

Aliases

arxiv: 1501.03993 · arxiv_version: 1501.03993v5 · doi: 10.48550/arxiv.1501.03993 · pith_short_12: VJQISOYQIFTN · pith_short_16: VJQISOYQIFTNM43A · pith_short_8: VJQISOYQ

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/VJQISOYQIFTNM43AM2ICONSU2F \
  | 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: aa60893b104166d673606690273654d1765bc1fdb4d09418bc0905c0f05a138b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e205480d06788559523167ca662efd704f2a54ff2d63889c9c01d5cd0ae42cc",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-16T14:43:21Z",
    "title_canon_sha256": "ed1d40b5dc9c196f2cea9f28c81fb1969e58ec8cba258174d55bdf98dbad772e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03993",
    "kind": "arxiv",
    "version": 5
  }
}