pith. sign in
Pith Number

pith:2HNNJS3I

pith:2019:2HNNJS3ISAMN3HI4563OC2AKQ6
not attested not anchored not stored refs pending

Equivalence between the phase-integral and worldline-instanton methods

Don N. Page, Sang Pyo Kim

arxiv:1904.09749 v1 · 2019-04-22 · hep-th · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2HNNJS3ISAMN3HI4563OC2AKQ6}

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 2026-05-17T23:48:03.446836Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d1dad4cb689018dd9d1cefb6e1680a878b464e1f3e9428f7a17d920fb2d6c0cd

Aliases

arxiv: 1904.09749 · arxiv_version: 1904.09749v1 · doi: 10.48550/arxiv.1904.09749 · pith_short_12: 2HNNJS3ISAMN · pith_short_16: 2HNNJS3ISAMN3HI4 · pith_short_8: 2HNNJS3I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2HNNJS3ISAMN3HI4563OC2AKQ6 \
  | 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: d1dad4cb689018dd9d1cefb6e1680a878b464e1f3e9428f7a17d920fb2d6c0cd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "af5eda7bcb52db6383eb00ed52a6afffc16402950e11de950b0aa14c8443a0b7",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-04-22T07:11:10Z",
    "title_canon_sha256": "3ccf48af110ea2a46333d42d4e6d9a1db4cc847dc8e7b5311700e49abd46fcae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09749",
    "kind": "arxiv",
    "version": 1
  }
}