Pith Number

pith:ZCODY65C

pith:2010:ZCODY65CFMC5KPBXA7GQQPALBE

not attested not anchored not stored refs pending

The hbar Expansion in Quantum Field Theory

Paul Hoyer, Stanley J. Brodsky

arxiv:1009.2313 v3 · 2010-09-13 · 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{ZCODY65CFMC5KPBXA7GQQPALBE}

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	2026-05-18T04:26:13.327769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89c3c7ba22b05d53c3707cd083c0b090ed5838eb8d721449fcfe24f89f1f215

Aliases

arxiv: 1009.2313 · arxiv_version: 1009.2313v3 · doi: 10.48550/arxiv.1009.2313 · pith_short_12: ZCODY65CFMC5 · pith_short_16: ZCODY65CFMC5KPBX · pith_short_8: ZCODY65C

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/ZCODY65CFMC5KPBXA7GQQPALBE \
  | 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: c89c3c7ba22b05d53c3707cd083c0b090ed5838eb8d721449fcfe24f89f1f215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad1b7922028e2facb85577c18f63d43d14c79316c2dd040430514df973349ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-13T07:31:41Z",
    "title_canon_sha256": "16504bbacca50de0ce9f59fd795fa8a8dcec163a364af269ebed0cd6ce06b954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2313",
    "kind": "arxiv",
    "version": 3
  }
}