Pith Number

pith:TXJTSGDT

pith:2009:TXJTSGDTIFQ2CQAZ6U4PYIK2L5

not attested not anchored not stored refs pending

Weinberg sum rules at NLO in 1/Nc

J.J. Sanz-Cillero, J. Trnka

arxiv:0912.2068 v1 · 2009-12-10 · 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{TXJTSGDTIFQ2CQAZ6U4PYIK2L5}

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	2026-05-18T02:33:56.920684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd33918734161a14019f538fc215a5f5d948de138309a39d480a88a5945a1b0

Aliases

arxiv: 0912.2068 · arxiv_version: 0912.2068v1 · doi: 10.48550/arxiv.0912.2068 · pith_short_12: TXJTSGDTIFQ2 · pith_short_16: TXJTSGDTIFQ2CQAZ · pith_short_8: TXJTSGDT

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/TXJTSGDTIFQ2CQAZ6U4PYIK2L5 \
  | 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: 9dd33918734161a14019f538fc215a5f5d948de138309a39d480a88a5945a1b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f29ed5a82f5b92ba65bddc8d2a71b961d31ad0f62b812b7899bfee75dc28c7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-12-10T18:52:38Z",
    "title_canon_sha256": "a61515f3ea2ae7a38a31e1f1a005c82ca8eb79b8fe80a7addd35a202187787c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2068",
    "kind": "arxiv",
    "version": 1
  }
}