Pith Number

pith:YCN5IBNU

pith:1997:YCN5IBNUAPVRRTA4NJNEZPBGSW

not attested not anchored not stored refs pending

On the 1/N expansion in chiral perturbation theory

H. Leutwyler (University of Bern)

arxiv:hep-ph/9709408 v1 · 1997-09-20 · 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{YCN5IBNUAPVRRTA4NJNEZPBGSW}

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

1 paper in Pith

FLAG Review 2024

Receipt and verification

First computed	2026-07-04T16:05:13.742940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09bd405b403eb18cc1c6a5a4cbc26959cea7fa87ccde7450ee6c9c5a3cd9fd2

Aliases

arxiv: hep-ph/9709408 · arxiv_version: hep-ph/9709408v1 · doi: 10.48550/arxiv.hep-ph/9709408 · pith_short_12: YCN5IBNUAPVR · pith_short_16: YCN5IBNUAPVRRTA4 · pith_short_8: YCN5IBNU

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/YCN5IBNUAPVRRTA4NJNEZPBGSW \
  | 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: c09bd405b403eb18cc1c6a5a4cbc26959cea7fa87ccde7450ee6c9c5a3cd9fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c089931c8f292e1fb1443119b0f6cbde397ab15da189c5d8d5c16efccb734ab0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-09-20T01:07:19Z",
    "title_canon_sha256": "0bd013d5f77834916136ed567c43fdbff7b3c1a0890b499239c06f6b193c3d18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9709408",
    "kind": "arxiv",
    "version": 1
  }
}