Pith Number

pith:JJKFN4Z7

pith:1997:JJKFN4Z7JTNDE53EPGWYLP4RL7

not attested not anchored not stored refs pending

Energy conditions and galaxy formation

Matt Visser (Washington University)

arxiv:gr-qc/9710010 v2 · 1997-10-02 · 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{JJKFN4Z7JTNDE53EPGWYLP4RL7}

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.

Cited by

1 paper in Pith

An oscillating Rastall universe crossing the phantom divide line

Receipt and verification

First computed	2026-07-04T16:04:40.268392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5456f33f4cda32776479ad85bf915fc8e03c32c73404c461fe5b79212c659c

Aliases

arxiv: gr-qc/9710010 · arxiv_version: gr-qc/9710010v2 · doi: 10.48550/arxiv.gr-qc/9710010 · pith_short_12: JJKFN4Z7JTND · pith_short_16: JJKFN4Z7JTNDE53E · pith_short_8: JJKFN4Z7

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/JJKFN4Z7JTNDE53EPGWYLP4RL7 \
  | 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: 4a5456f33f4cda32776479ad85bf915fc8e03c32c73404c461fe5b79212c659c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9856bf4967cdad32cf3ce0da119447afa74cec05cc86fd985542af0a64d4ce33",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-10-02T04:29:44Z",
    "title_canon_sha256": "47961be1b6c4116eb985855f93bd542513ae71d5a32d7efefe40255182e0aa0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9710010",
    "kind": "arxiv",
    "version": 2
  }
}