Pith Number

pith:3LIMHOM6

pith:1996:3LIMHOM6U3V3MZYNQE7A7JF3TZ

not attested not anchored not stored refs pending

Normalization of modes in an open universe

Andrew R Liddle, David H Lyth, David Wands, Juan Garcia-Bellido

arxiv:astro-ph/9608106 v2 · 1996-08-16 · 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{3LIMHOM6U3V3MZYNQE7A7JF3TZ}

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	2026-05-18T01:08:08.220132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad0c3b99ea6ebb6670d813e0fa4bb9e70fc06e2785ef1781bd5b82c337e3df7

Aliases

arxiv: astro-ph/9608106 · arxiv_version: astro-ph/9608106v2 · doi: 10.48550/arxiv.astro-ph/9608106 · pith_short_12: 3LIMHOM6U3V3 · pith_short_16: 3LIMHOM6U3V3MZYN · pith_short_8: 3LIMHOM6

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/3LIMHOM6U3V3MZYNQE7A7JF3TZ \
  | 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: dad0c3b99ea6ebb6670d813e0fa4bb9e70fc06e2785ef1781bd5b82c337e3df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5065dd162361ce1a01d49c5c59504dafb28082dadc1ff920cbb82c71ac50306d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-08-16T07:44:55Z",
    "title_canon_sha256": "ff0dcfdaf36423a208b3714a72d9404a2cd7ba859e4ac23f509389a0c3134df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9608106",
    "kind": "arxiv",
    "version": 2
  }
}