Pith Number

pith:MUYVDUQY

pith:1997:MUYVDUQY75ZCPIO5IAN64SRV3C

not attested not anchored not stored refs pending

Cosmological perturbation theory and conserved quantities in the large-scale limit

Winfried Zimdahl

arxiv:gr-qc/9707047 v1 · 1997-07-22 · gr-qc · 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{MUYVDUQY75ZCPIO5IAN64SRV3C}

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	2026-05-18T04:17:52.573061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

653151d218ff7227a1dd401bee4a35d891bc98d35899ed115d0fde4f1a32e496

Aliases

arxiv: gr-qc/9707047 · arxiv_version: gr-qc/9707047v1 · doi: 10.48550/arxiv.gr-qc/9707047 · pith_short_12: MUYVDUQY75ZC · pith_short_16: MUYVDUQY75ZCPIO5 · pith_short_8: MUYVDUQY

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/MUYVDUQY75ZCPIO5IAN64SRV3C \
  | 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: 653151d218ff7227a1dd401bee4a35d891bc98d35899ed115d0fde4f1a32e496

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243f48ed778f14a6601ea96f1e5d17d8d7611d1867d523ff07e4a8a5e5c5d3f9",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-07-22T10:19:38Z",
    "title_canon_sha256": "acd0131bedb9c7e4f7e6a124ef66bdeabeff530bd894a7025b1f91d4fa5f6a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9707047",
    "kind": "arxiv",
    "version": 1
  }
}