Pith Number

pith:YQR4WTUY

pith:2004:YQR4WTUY33ACTZQLRQK23VWLV6

not attested not anchored not stored refs pending

Running Coupling with Minimal Length

Sabine Hossenfelder

arxiv:hep-ph/0405127 v2 · 2004-05-14 · hep-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{YQR4WTUY33ACTZQLRQK23VWLV6}

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	2026-07-04T14:29:01.006615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c423cb4e98dec029e60b8c15add6cbaf98cf076142fd02b79138df6fcea7ced3

Aliases

arxiv: hep-ph/0405127 · arxiv_version: hep-ph/0405127v2 · doi: 10.48550/arxiv.hep-ph/0405127 · pith_short_12: YQR4WTUY33AC · pith_short_16: YQR4WTUY33ACTZQL · pith_short_8: YQR4WTUY

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/YQR4WTUY33ACTZQLRQK23VWLV6 \
  | 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: c423cb4e98dec029e60b8c15add6cbaf98cf076142fd02b79138df6fcea7ced3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c32845485800528959fd66f6e97c25767c1fdbba6b259eca53dc8ed012d4432",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-05-14T01:01:54Z",
    "title_canon_sha256": "9fcccd95539e527bc42ed2b4d548f625aca68da0a68fdd3fdacbe0298575fabd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0405127",
    "kind": "arxiv",
    "version": 2
  }
}