Pith Number

pith:PT654XIK

pith:2016:PT654XIKGJND7AN7GELOZSWXS5

not attested not anchored not stored refs pending

Frames of most uniform Hubble flow

David Kraljic (Oxford), Subir Sarkar (Oxford & Copenhagen)

arxiv:1607.07377 v3 · 2016-07-25 · 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{PT654XIKGJND7AN7GELOZSWXS5}

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	2026-05-18T01:02:51.899989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfdde5d0a325a3f81bf3116eccad79765d17335cd55364c4b864d9c2dfafaa1

Aliases

arxiv: 1607.07377 · arxiv_version: 1607.07377v3 · doi: 10.48550/arxiv.1607.07377 · pith_short_12: PT654XIKGJND · pith_short_16: PT654XIKGJND7AN7 · pith_short_8: PT654XIK

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/PT654XIKGJND7AN7GELOZSWXS5 \
  | 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: 7cfdde5d0a325a3f81bf3116eccad79765d17335cd55364c4b864d9c2dfafaa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236179704411c736b14536091f78428606aea0f74286a1e71f3b77e82887d4ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-07-25T17:37:28Z",
    "title_canon_sha256": "2aeb158a4967efae7d333872e98038bf52d238c6c38a6be987e725dc1c30cb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07377",
    "kind": "arxiv",
    "version": 3
  }
}