Pith Number

pith:FFXILCBG

pith:2011:FFXILCBGTHIKLYTKPVOQULBXW6

not attested not anchored not stored refs pending

Ultra-light Axions: Degeneracies with Massive Neutrinos and Forecasts for Future Cosmological Observations

David J. E. Marsh, Edward Macaulay, Maxime Trebitsch, Pedro G. Ferreira

arxiv:1110.0502 v2 · 2011-10-03 · astro-ph.CO · 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{FFXILCBGTHIKLYTKPVOQULBXW6}

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	2026-05-18T03:33:26.525671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296e85882699d0a5e26a7d5d0a2c37b7b6da96b7776b8e678ce4983628c7807d

Aliases

arxiv: 1110.0502 · arxiv_version: 1110.0502v2 · doi: 10.48550/arxiv.1110.0502 · pith_short_12: FFXILCBGTHIK · pith_short_16: FFXILCBGTHIKLYTK · pith_short_8: FFXILCBG

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/FFXILCBGTHIKLYTKPVOQULBXW6 \
  | 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: 296e85882699d0a5e26a7d5d0a2c37b7b6da96b7776b8e678ce4983628c7807d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31c7cd992accb2310481f736290782ea1fe94fcb3111c03b591b86bd4890fa2",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-03T21:01:47Z",
    "title_canon_sha256": "ccfc1a4c8711dc689551e127506efdc967c9e28283884253b864273cbf2458f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0502",
    "kind": "arxiv",
    "version": 2
  }
}