Pith Number

pith:ER4G5ZEB

pith:1998:ER4G5ZEB7HW7CBJAPCQTW5YK6A

not attested not anchored not stored refs pending

Lagrangian theory of structure formation in pressure-supported cosmological fluids

Susanne Adler, Thomas Buchert

arxiv:astro-ph/9806320 v2 · 1998-06-24 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER4G5ZEB7HW7CBJAPCQTW5YK6A}

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	2026-05-18T04:21:40.142342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24786ee481f9edf1052078a13b770af0145256ccc39d15d702b29804d5e90142

Aliases

arxiv: astro-ph/9806320 · arxiv_version: astro-ph/9806320v2 · doi: 10.48550/arxiv.astro-ph/9806320 · pith_short_12: ER4G5ZEB7HW7 · pith_short_16: ER4G5ZEB7HW7CBJA · pith_short_8: ER4G5ZEB

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/ER4G5ZEB7HW7CBJAPCQTW5YK6A \
  | 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: 24786ee481f9edf1052078a13b770af0145256ccc39d15d702b29804d5e90142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5418421c0db4e831332437d502fb815a7b83033842c3dcd0ec9a1741663b8d07",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-06-24T13:47:31Z",
    "title_canon_sha256": "0d9575a71d1814979d21f9958247ddf560d57cb2301dba3ecaff3f6abf2f3cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9806320",
    "kind": "arxiv",
    "version": 2
  }
}