Pith Number

pith:4YPDY2EE

pith:2010:4YPDY2EE4QEINGUE53GB2SNXFM

not attested not anchored not stored refs pending

Ultra-Light Scalar Fields and the Growth of Structure in the Universe

David J. E. Marsh, Pedro G. Ferreira

arxiv:1009.3501 v1 · 2010-09-17 · hep-ph · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YPDY2EE4QEINGUE53GB2SNXFM}

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

Gravitational Wave Birefringence from Fuzzy Dark Matter

Receipt and verification

First computed	2026-05-18T04:32:45.588834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61e3c6884e408869a84eecc1d49b72b005b595cdbeb4416ac0eae4747f22b1e

Aliases

arxiv: 1009.3501 · arxiv_version: 1009.3501v1 · doi: 10.48550/arxiv.1009.3501 · pith_short_12: 4YPDY2EE4QEI · pith_short_16: 4YPDY2EE4QEINGUE · pith_short_8: 4YPDY2EE

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/4YPDY2EE4QEINGUE53GB2SNXFM \
  | 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: e61e3c6884e408869a84eecc1d49b72b005b595cdbeb4416ac0eae4747f22b1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4d2d097b5a1817a1868d56847feb59c848d1373ee1295f0b41ae2f89c44381",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-09-17T20:06:26Z",
    "title_canon_sha256": "c8ae6839e39f3f24c96d93de93effdefa88e896fd1d27330629243966075904c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3501",
    "kind": "arxiv",
    "version": 1
  }
}