Pith Number

pith:TNPCJIJX

pith:2014:TNPCJIJXKAQIBU6Y76XFNIF5VL

not attested not anchored not stored refs pending

Weinberg sum rules at finite temperature

A. Ayala, C. A. Dominguez, M. Loewe, Y. Zhang

arxiv:1405.2228 v2 · 2014-05-09 · hep-ph · hep-lat · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNPCJIJXKAQIBU6Y76XFNIF5VL}

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	2026-05-18T02:44:17.472724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b5e24a137502080d3d8ffae56a0bdaac28ac653358088e3fafff4c56a21f752

Aliases

arxiv: 1405.2228 · arxiv_version: 1405.2228v2 · doi: 10.48550/arxiv.1405.2228 · pith_short_12: TNPCJIJXKAQI · pith_short_16: TNPCJIJXKAQIBU6Y · pith_short_8: TNPCJIJX

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/TNPCJIJXKAQIBU6Y76XFNIF5VL \
  | 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: 9b5e24a137502080d3d8ffae56a0bdaac28ac653358088e3fafff4c56a21f752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c0cf4e17d43c811919af06b5b39043bb32ed4457f368587f063262cf59993a",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-05-09T13:48:33Z",
    "title_canon_sha256": "1a0800dcd98007665316e09ef7a0ee9d23856f62d3e2577c22504502ba1cd901"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2228",
    "kind": "arxiv",
    "version": 2
  }
}