Pith Number

pith:HRX2EU4F

pith:2012:HRX2EU4FXEVULVJ5XOGLV2FXO3

not attested not anchored not stored refs pending

Photon-photon interactions as a source of CMB circular polarization

R. F. Sawyer

arxiv:1205.4969 v4 · 2012-05-22 · astro-ph.CO · 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{HRX2EU4FXEVULVJ5XOGLV2FXO3}

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	2026-05-18T03:29:13.876608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c6fa25385b92b45d53dbb8cbae8b776cca960b2f8e5822ff575b04c7f7a875a

Aliases

arxiv: 1205.4969 · arxiv_version: 1205.4969v4 · doi: 10.48550/arxiv.1205.4969 · pith_short_12: HRX2EU4FXEVU · pith_short_16: HRX2EU4FXEVULVJ5 · pith_short_8: HRX2EU4F

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/HRX2EU4FXEVULVJ5XOGLV2FXO3 \
  | 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: 3c6fa25385b92b45d53dbb8cbae8b776cca960b2f8e5822ff575b04c7f7a875a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b75c3f33f384c32aaf27331744b6368b4a3cd6fbea9c4db25395373f27f76f",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-05-22T16:30:34Z",
    "title_canon_sha256": "f19ba857275207845c6c5aa475389aeaae13cfb1783aad17b2088f60cfcc865d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4969",
    "kind": "arxiv",
    "version": 4
  }
}