Pith Number

pith:PUG6DURB

pith:1999:PUG6DURBLXS4HGDCCEXX6KXYXS

not attested not anchored not stored refs pending

Borel Summation of the Derivative Expansion and Effective Actions

Gerald V. Dunne, Theodore M. Hall

arxiv:hep-th/9902064 v1 · 1999-02-09 · hep-th · hep-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{PUG6DURBLXS4HGDCCEXX6KXYXS}

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

4 papers in Pith

Bounds on nonlinear electrodynamics via resummed relative entropy

Resurgence of the Effective Action in Inhomogeneous Fields

Introductory Lectures on Resurgence: CERN Summer School 2024

Receipt and verification

First computed	2026-07-04T16:14:44.894108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d0de1d2215de5c39862112f7f2af8bcbdf46fb3a8dafa505bcd5b42641a22b8

Aliases

arxiv: hep-th/9902064 · arxiv_version: hep-th/9902064v1 · doi: 10.48550/arxiv.hep-th/9902064 · pith_short_12: PUG6DURBLXS4 · pith_short_16: PUG6DURBLXS4HGDC · pith_short_8: PUG6DURB

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/PUG6DURBLXS4HGDCCEXX6KXYXS \
  | 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: 7d0de1d2215de5c39862112f7f2af8bcbdf46fb3a8dafa505bcd5b42641a22b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839e7446119dfcb84af030c431f30525601ef306aa9d72ce6dfd79de0088a047",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-02-09T13:51:02Z",
    "title_canon_sha256": "3fa5f86debd97b55b973da4922fe39c5373fbd7e39cd8d86feb06840483869ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9902064",
    "kind": "arxiv",
    "version": 1
  }
}