Pith Number

pith:KYR3A4RD

pith:2013:KYR3A4RDAHEQDRWX7CK4U3W653

not attested not anchored not stored refs pending

Refined approximations for the distortion visibility function and mu-type spectral distortions

Jens Chluba

arxiv:1312.6030 v2 · 2013-12-20 · astro-ph.CO · 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{KYR3A4RDAHEQDRWX7CK4U3W653}

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	2026-05-18T01:45:43.239611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5623b0722301c901c6d7f895ca6edeeeea0645f141b9ada6f87e97d6afe6922f

Aliases

arxiv: 1312.6030 · arxiv_version: 1312.6030v2 · doi: 10.48550/arxiv.1312.6030 · pith_short_12: KYR3A4RDAHEQ · pith_short_16: KYR3A4RDAHEQDRWX · pith_short_8: KYR3A4RD

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/KYR3A4RDAHEQDRWX7CK4U3W653 \
  | 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: 5623b0722301c901c6d7f895ca6edeeeea0645f141b9ada6f87e97d6afe6922f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d53cb7f891a8c2ceeabb6616fd9faf5ad47f9fc3cfa3800b64456b897b3f91",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-20T16:42:46Z",
    "title_canon_sha256": "9c6d91db1411e6aba3e083c26020a3bc3b7ae06aaab86254337f00db496970c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6030",
    "kind": "arxiv",
    "version": 2
  }
}