pith. sign in
Pith Number

pith:7KK5YAFT

pith:2012:7KK5YAFT4IB2SROLHK5VTRI2RI
not attested not anchored not stored refs pending

Creation of the CMB spectrum: precise analytic solutions for the blackbody photosphere

Rashid A. Sunyaev, Rishi Khatri

arxiv:1203.2601 v2 · 2012-03-12 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7KK5YAFT4IB2SROLHK5VTRI2RI}

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 2026-05-18T03:52:28.025362Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fa95dc00b3e203a945cb3abb59c51a8a034708ab348d6ace6a14d934d4814713

Aliases

arxiv: 1203.2601 · arxiv_version: 1203.2601v2 · doi: 10.48550/arxiv.1203.2601 · pith_short_12: 7KK5YAFT4IB2 · pith_short_16: 7KK5YAFT4IB2SROL · pith_short_8: 7KK5YAFT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7KK5YAFT4IB2SROLHK5VTRI2RI \
  | 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: fa95dc00b3e203a945cb3abb59c51a8a034708ab348d6ace6a14d934d4814713
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "dd90a476c2e4a5ad26dbec6d5c2a039b87b6f41e0d2e0524d2a83972e08da02c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-03-12T19:51:37Z",
    "title_canon_sha256": "5c6fd9b842c6fd8dba0ee0e8f82608913ca649d35541ead28c05691025aaa875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2601",
    "kind": "arxiv",
    "version": 2
  }
}