Pith Number

pith:ID4R6GEV

pith:2014:ID4R6GEV7L3GVP7Y22BWYMDZEK

not attested not anchored not stored refs pending

Trajectories of point particles in cosmology and the Zel'dovich approximation

Matthias Bartelmann

arxiv:1411.0805 v1 · 2014-11-04 · gr-qc · astro-ph.CO · physics.class-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{ID4R6GEV7L3GVP7Y22BWYMDZEK}

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	2026-05-18T01:41:35.450666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f91f1895faf66abff8d6836c3079229b980206bbd141fc08e8f6815d7def6a

Aliases

arxiv: 1411.0805 · arxiv_version: 1411.0805v1 · doi: 10.48550/arxiv.1411.0805 · pith_short_12: ID4R6GEV7L3G · pith_short_16: ID4R6GEV7L3GVP7Y · pith_short_8: ID4R6GEV

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/ID4R6GEV7L3GVP7Y22BWYMDZEK \
  | 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: 40f91f1895faf66abff8d6836c3079229b980206bbd141fc08e8f6815d7def6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739368c9350ff94c26dcace6fced611db5c9d1e233bae2b979f57165f792d805",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-11-04T07:07:42Z",
    "title_canon_sha256": "0254e33c0b5f88c428e3921c2ae274f4d47d45d687b1c4cd118741e113e084b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0805",
    "kind": "arxiv",
    "version": 1
  }
}