Pith Number

pith:O7W23NBQ

pith:2009:O7W23NBQTAA7D5YFWIKTKRT7BC

not attested not anchored not stored refs pending

A numerical code for the solution of the Kompaneets equation in cosmological context

Carlo Burigana, Pietro Procopio

arxiv:0905.2886 v2 · 2009-05-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7W23NBQTAA7D5YFWIKTKRT7BC}

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	2026-05-18T02:13:38.887246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77edadb4309801f1f705b21535467f08af89137789195ac8b55f9a22ad20d54e

Aliases

arxiv: 0905.2886 · arxiv_version: 0905.2886v2 · doi: 10.48550/arxiv.0905.2886 · pith_short_12: O7W23NBQTAA7 · pith_short_16: O7W23NBQTAA7D5YF · pith_short_8: O7W23NBQ

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/O7W23NBQTAA7D5YFWIKTKRT7BC \
  | 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: 77edadb4309801f1f705b21535467f08af89137789195ac8b55f9a22ad20d54e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96689da34b8a956f215bb6a8403c352cab11b856fa9248cfe82ad799c46754b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-18T13:43:41Z",
    "title_canon_sha256": "01dfcd8551997a7c6cc1df5740c3417b941feaf928fc5d51a861a34e841473d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2886",
    "kind": "arxiv",
    "version": 2
  }
}