Pith Number

pith:4TQTWTRU

pith:1997:4TQTWTRU2MNIJWWXD3ALVEEX6R

not attested not anchored not stored refs pending

On the instability of the one-texture universe

Andrew R Liddle, Marc Kamionkowski, Mark Hindmarsh, Xuelei Chen

arxiv:astro-ph/9702006 v2 · 1997-01-31 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TQTWTRU2MNIJWWXD3ALVEEX6R}

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	2026-05-18T01:08:08.200135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e13b4e34d31a84dad71ec0ba9097f47ddb82ce270aa6b6da4493face908978

Aliases

arxiv: astro-ph/9702006 · arxiv_version: astro-ph/9702006v2 · doi: 10.48550/arxiv.astro-ph/9702006 · pith_short_12: 4TQTWTRU2MNI · pith_short_16: 4TQTWTRU2MNIJWWX · pith_short_8: 4TQTWTRU

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/4TQTWTRU2MNIJWWXD3ALVEEX6R \
  | 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: e4e13b4e34d31a84dad71ec0ba9097f47ddb82ce270aa6b6da4493face908978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7df3e15264fdc130e1d764194c53b142120cff6cbdc9f9baea6c51484fb8e86",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-01-31T09:51:59Z",
    "title_canon_sha256": "28b5002c7d8c8a2d71e4be716ee455f5899f063111a5d80710084004a43e5caa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9702006",
    "kind": "arxiv",
    "version": 2
  }
}