Pith Number

pith:CTLGQXHD

pith:2008:CTLGQXHD3GSFS5R5BI62FBZNQJ

not attested not anchored not stored refs pending

Statistics of gravitational potential perturbations: A novel approach to deriving the X-ray temperature function

Christian Angrick, Matthias Bartelmann

arxiv:0802.1680 v3 · 2008-02-12 · astro-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{CTLGQXHD3GSFS5R5BI62FBZNQJ}

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	2026-05-18T02:35:23.339723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14d6685ce3d9a459763d0a3da2872d8245dd96c53f58518094d5ac84b8171ba5

Aliases

arxiv: 0802.1680 · arxiv_version: 0802.1680v3 · doi: 10.48550/arxiv.0802.1680 · pith_short_12: CTLGQXHD3GSF · pith_short_16: CTLGQXHD3GSFS5R5 · pith_short_8: CTLGQXHD

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/CTLGQXHD3GSFS5R5BI62FBZNQJ \
  | 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: 14d6685ce3d9a459763d0a3da2872d8245dd96c53f58518094d5ac84b8171ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "441e634dd7331e50ebe401c54eedc7dab149b6b489ca8b4dee788d82a8333f85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-02-12T18:05:30Z",
    "title_canon_sha256": "add1e6f24264f5723a09f8c4d71e494c829235c2cd128c31fc4f5bcbc88a2ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1680",
    "kind": "arxiv",
    "version": 3
  }
}