Pith Number

pith:FDW4A3TB

pith:2013:FDW4A3TBY6F5ZNOMQPQZVS7BMQ

not attested not anchored not stored refs pending

Expected number of massive galaxy relics in the present-day Universe

Ignacio Trujillo, Vicent Quilis

arxiv:1307.1976 v2 · 2013-07-08 · 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{FDW4A3TBY6F5ZNOMQPQZVS7BMQ}

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	2026-05-18T01:48:58.847989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28edc06e61c78bdcb5cc83e19acbe16400632a06e052e26bac44004c3a512b89

Aliases

arxiv: 1307.1976 · arxiv_version: 1307.1976v2 · doi: 10.48550/arxiv.1307.1976 · pith_short_12: FDW4A3TBY6F5 · pith_short_16: FDW4A3TBY6F5ZNOM · pith_short_8: FDW4A3TB

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/FDW4A3TBY6F5ZNOMQPQZVS7BMQ \
  | 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: 28edc06e61c78bdcb5cc83e19acbe16400632a06e052e26bac44004c3a512b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a591a83cac842df47b6efdaca4e08d0a68bf03d857f84caf926974709107515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-07-08T08:08:47Z",
    "title_canon_sha256": "2f3373a1e583bcdf43cb42a2bc47ab90bfb58b6c45905ecf651b49943955531b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1976",
    "kind": "arxiv",
    "version": 2
  }
}