Pith Number

pith:2PBZP53M

pith:2017:2PBZP53MJVYHS4NIJF6YOTSLV5

not attested not anchored not stored refs pending

Exact determination of asymptotic CMB temperature-redshift relation

Ralf Hofmann, Steffen Hahn

arxiv:1712.08561 v2 · 2017-12-21 · physics.gen-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{2PBZP53MJVYHS4NIJF6YOTSLV5}

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	2026-05-18T00:21:08.901072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c397f76c4d707971a8497d874e4baf7b2345094cda02ef7059dcc36ac9e00b

Aliases

arxiv: 1712.08561 · arxiv_version: 1712.08561v2 · doi: 10.48550/arxiv.1712.08561 · pith_short_12: 2PBZP53MJVYH · pith_short_16: 2PBZP53MJVYHS4NI · pith_short_8: 2PBZP53M

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/2PBZP53MJVYHS4NIJF6YOTSLV5 \
  | 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: d3c397f76c4d707971a8497d874e4baf7b2345094cda02ef7059dcc36ac9e00b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71cd3f7058010eaac4ac49b67f0d9316d3b34778ec26ec1fccc580f5c39dd04",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2017-12-21T15:26:14Z",
    "title_canon_sha256": "12cb5bc1afcc8e77d0f47e70fad8b88c70faf23e9b05a6458892ac36cf4cebf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08561",
    "kind": "arxiv",
    "version": 2
  }
}