Pith Number

pith:TZDFTXX2

pith:2022:TZDFTXX2KNL2FY6RGBFEYO7UJY

not attested not anchored not stored refs pending

Axial Bianchi IX and its Lema{\^i}tre-Hubble diagram

Andr\'e Tilquin, Galliano Valent, Thomas Sch\"ucker

arxiv:2211.04844 v2 · 2022-11-09 · gr-qc · 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{TZDFTXX2KNL2FY6RGBFEYO7UJY}

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	2026-07-05T07:24:47.017838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4659defa5357a2e3d1304a4c3bf44e04d406e0e9c8e1ba1f72be4a6f7d6beb

Aliases

arxiv: 2211.04844 · arxiv_version: 2211.04844v2 · doi: 10.48550/arxiv.2211.04844 · pith_short_12: TZDFTXX2KNL2 · pith_short_16: TZDFTXX2KNL2FY6R · pith_short_8: TZDFTXX2

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/TZDFTXX2KNL2FY6RGBFEYO7UJY \
  | 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: 9e4659defa5357a2e3d1304a4c3bf44e04d406e0e9c8e1ba1f72be4a6f7d6beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d81d37d5fc753df7c09db3d69f134dbbcab1b62d47928c085b76e351bc26cf",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-09T12:28:03Z",
    "title_canon_sha256": "530950e83f6d783da3402731dde8db95ccdd82e8c2db4ce3841a17bf9e6b3da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.04844",
    "kind": "arxiv",
    "version": 2
  }
}