Pith Number

pith:P2SWO7GP

pith:2003:P2SWO7GPL3XSGI6NNI35WA6DWN

not attested not anchored not stored refs pending

Gauge Couplings at High Temperature and the Relic Gravitino Abundance

K. Hamaguchi, M. Ratz, W. Buchm\"uller

arxiv:hep-ph/0307181 v2 · 2003-07-14 · hep-ph · astro-ph · 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{P2SWO7GPL3XSGI6NNI35WA6DWN}

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

Gamma-Ray Signatures of Thermal Misalignment Dark Matter

Receipt and verification

First computed	2026-07-04T15:26:43.473547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea5677ccf5eef2323cd6a37db03c3b36585e06a82a37255cd4475b3a707f433

Aliases

arxiv: hep-ph/0307181 · arxiv_version: hep-ph/0307181v2 · doi: 10.48550/arxiv.hep-ph/0307181 · pith_short_12: P2SWO7GPL3XS · pith_short_16: P2SWO7GPL3XSGI6N · pith_short_8: P2SWO7GP

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/P2SWO7GPL3XSGI6NNI35WA6DWN \
  | 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: 7ea5677ccf5eef2323cd6a37db03c3b36585e06a82a37255cd4475b3a707f433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e8a04892d7017b96018135dd151e2982183d0d646fe8e34bb1502431fe861dc",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-07-14T16:20:51Z",
    "title_canon_sha256": "f2d70e17c886e88fe4fd4839431f1bdd684d859aae4796c98177a7e1092d64d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0307181",
    "kind": "arxiv",
    "version": 2
  }
}