Pith Number

pith:A2HJFZOP

pith:2016:A2HJFZOPVQBYKDG3CGOLB53F4W

not attested not anchored not stored refs pending

The Velocity Distribution Function of Galaxy Clusters as a Cosmological Probe

H. Trac, J. Cisewski, L.C. Price, M. Ntampaka

arxiv:1602.01837 v2 · 2016-02-04 · 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{A2HJFZOPVQBYKDG3CGOLB53F4W}

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	2026-05-18T00:52:17.556534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

068e92e5cfac03850cdb119cb0f765e589427b4a8759e6593ef842a9fe662361

Aliases

arxiv: 1602.01837 · arxiv_version: 1602.01837v2 · doi: 10.48550/arxiv.1602.01837 · pith_short_12: A2HJFZOPVQBY · pith_short_16: A2HJFZOPVQBYKDG3 · pith_short_8: A2HJFZOP

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/A2HJFZOPVQBYKDG3CGOLB53F4W \
  | 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: 068e92e5cfac03850cdb119cb0f765e589427b4a8759e6593ef842a9fe662361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "012171456a2092f6e68ad9de2ce456317288171455d43894ed3f171b4800957a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-02-04T21:00:03Z",
    "title_canon_sha256": "c8d01209f716addaae6c4c680f371c5099ccb6742307b32005a503528f2e8813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01837",
    "kind": "arxiv",
    "version": 2
  }
}