Pith Number

pith:F3NMDNQC

pith:2020:F3NMDNQC3FJEJDJLCPLOEOBXWQ

not attested not anchored not stored refs pending

Geometric optics in the presence of axion-like particles in curved space-time

Aritra Basu, Dominik J. Schwarz, Jishnu Goswami

arxiv:2003.10205 v2 · 2020-03-23 · hep-ph · astro-ph.IM · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3NMDNQC3FJEJDJLCPLOEOBXWQ}

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	2026-07-05T02:37:26.704494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edac1b602d952448d2b13d6e23837b40a2a4155d57601dc6b0f1baccfc4b8cc

Aliases

arxiv: 2003.10205 · arxiv_version: 2003.10205v2 · doi: 10.48550/arxiv.2003.10205 · pith_short_12: F3NMDNQC3FJE · pith_short_16: F3NMDNQC3FJEJDJL · pith_short_8: F3NMDNQC

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/F3NMDNQC3FJEJDJLCPLOEOBXWQ \
  | 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: 2edac1b602d952448d2b13d6e23837b40a2a4155d57601dc6b0f1baccfc4b8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6c21e49c09fc6f52773f60d295a70ac355954480a35c6862674e58633d789a5",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-03-23T12:24:11Z",
    "title_canon_sha256": "61dbb83a2bebbc1680d0b5ee7f88183c97eccbd0a995edb067295e8e0535c37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.10205",
    "kind": "arxiv",
    "version": 2
  }
}