Pith Number

pith:MVERRT6B

pith:2001:MVERRT6BIYUMHTYKB6SR2U3G5G

not attested not anchored not stored refs pending

Expansion of bound state energies in powers of m/M and (1-m/M)

Andrzej Czarnecki, Ian Blokland, Kirill Melnikov

arxiv:hep-ph/0112267 v1 · 2001-12-19 · 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{MVERRT6BIYUMHTYKB6SR2U3G5G}

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	2026-07-04T15:26:41.767305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654918cfc14628c3cf0a0fa51d5366e9aef5d8b19fcae33fb73ceff6bf86e408

Aliases

arxiv: hep-ph/0112267 · arxiv_version: hep-ph/0112267v1 · doi: 10.48550/arxiv.hep-ph/0112267 · pith_short_12: MVERRT6BIYUM · pith_short_16: MVERRT6BIYUMHTYK · pith_short_8: MVERRT6B

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/MVERRT6BIYUMHTYKB6SR2U3G5G \
  | 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: 654918cfc14628c3cf0a0fa51d5366e9aef5d8b19fcae33fb73ceff6bf86e408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1923049df38bb93b50851ba2825124f7fbcbeda0225b234441cfe928dc2ccda8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-12-19T22:30:15Z",
    "title_canon_sha256": "d5ef0f6800e845a2b2bed756d850a8bddebe7c82e4b2a40e164f1b150310d23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0112267",
    "kind": "arxiv",
    "version": 1
  }
}