Pith Number

pith:XWFXM4OP

pith:2007:XWFXM4OPOSRRNKPVRTZU7L6SXL

not attested not anchored not stored refs pending

Environmental Dependence of Masses and Coupling Constants

Keith A. Olive, Maxim Pospelov

arxiv:0709.3825 v3 · 2007-09-24 · 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{XWFXM4OPOSRRNKPVRTZU7L6SXL}

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

2 papers in Pith

A directional force template for quadratically coupled ultralight dark matter

Stellar Superradiance and Low-Energy Absorption in Dense Nuclear Media

Receipt and verification

First computed	2026-07-04T15:27:47.069591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8b7671cf74a316a9f58cf34fafd2bac58e9cb50b12dc6aaa999c142aac10d3

Aliases

arxiv: 0709.3825 · arxiv_version: 0709.3825v3 · doi: 10.48550/arxiv.0709.3825 · pith_short_12: XWFXM4OPOSRR · pith_short_16: XWFXM4OPOSRRNKPV · pith_short_8: XWFXM4OP

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/XWFXM4OPOSRRNKPVRTZU7L6SXL \
  | 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: bd8b7671cf74a316a9f58cf34fafd2bac58e9cb50b12dc6aaa999c142aac10d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e2f78d3ab23e7f899f5d4385645eb6aa67ae3d1bffa3d678826dab55620b80",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-09-24T19:21:58Z",
    "title_canon_sha256": "f61b42e1ba3c28452353db92a76de2ac169e05aaee2510961da09882605a02ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3825",
    "kind": "arxiv",
    "version": 3
  }
}