Pith Number

pith:GZBTR2IU

pith:2011:GZBTR2IUUO5K3I43N66OKURX3F

not attested not anchored not stored refs pending

3D Velocity and Density Reconstructions of the Local Universe with Cosmicflows-1

Helene M. Courtois, R. Brent Tully, Stefan Gottlober, Yehuda Hoffman

arxiv:1109.3856 v1 · 2011-09-18 · 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{GZBTR2IUUO5K3I43N66OKURX3F}

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	2026-05-18T02:00:29.669689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

364338e914a3baada39b6fbce55237d97136edfb8241c5678d1588c235457dfa

Aliases

arxiv: 1109.3856 · arxiv_version: 1109.3856v1 · doi: 10.48550/arxiv.1109.3856 · pith_short_12: GZBTR2IUUO5K · pith_short_16: GZBTR2IUUO5K3I43 · pith_short_8: GZBTR2IU

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/GZBTR2IUUO5K3I43N66OKURX3F \
  | 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: 364338e914a3baada39b6fbce55237d97136edfb8241c5678d1588c235457dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faf7471290cac9352eaef67b043526825abdf8bfdadb981ec83a6aacd1474ed8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-09-18T09:47:30Z",
    "title_canon_sha256": "736fce38dabed6f82ba0d2bdc7e6a9a3f99e005e0b53d103d03a1fbd8cdee611"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3856",
    "kind": "arxiv",
    "version": 1
  }
}