Pith Number

pith:OLCBLTNL

pith:2016:OLCBLTNL2K2RDQKSEJ5UZZXXS4

not attested not anchored not stored refs pending

Higher order relativistic galaxy number counts: dominating terms

Jeppe Tr{\o}st Nielsen, Ruth Durrer

arxiv:1606.02113 v3 · 2016-06-07 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLCBLTNL2K2RDQKSEJ5UZZXXS4}

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	2026-05-18T00:49:00.033146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72c415cdabd2b511c152227b4ce6f79738fe41231e54d70c7434e95700a2ab15

Aliases

arxiv: 1606.02113 · arxiv_version: 1606.02113v3 · doi: 10.48550/arxiv.1606.02113 · pith_short_12: OLCBLTNL2K2R · pith_short_16: OLCBLTNL2K2RDQKS · pith_short_8: OLCBLTNL

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/OLCBLTNL2K2RDQKSEJ5UZZXXS4 \
  | 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: 72c415cdabd2b511c152227b4ce6f79738fe41231e54d70c7434e95700a2ab15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3564a4d227b9ceacb94b24129e26cb61a773402c09c1df37351ed66ff4576c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-06-07T12:15:19Z",
    "title_canon_sha256": "5daa6cae2c142e11230c92a864de17a6b2a302322a9c678eb301f7714565e12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02113",
    "kind": "arxiv",
    "version": 3
  }
}