Pith Number

pith:EYJPLJ4G

pith:1998:EYJPLJ4GRTEHE4MNGVH65KLLW6

not attested not anchored not stored refs pending

Causality and Cosmic Inflation

Mark Trodden, Tanmay Vachaspati

arxiv:gr-qc/9811037 v2 · 1998-11-11 · 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{EYJPLJ4GRTEHE4MNGVH65KLLW6}

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	2026-07-04T16:08:52.893386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2612f5a7868cc872718d354feea96bb7b02983b964e8240bb4d5b9f912d78f2e

Aliases

arxiv: gr-qc/9811037 · arxiv_version: gr-qc/9811037v2 · doi: 10.48550/arxiv.gr-qc/9811037 · pith_short_12: EYJPLJ4GRTEH · pith_short_16: EYJPLJ4GRTEHE4MN · pith_short_8: EYJPLJ4G

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/EYJPLJ4GRTEHE4MNGVH65KLLW6 \
  | 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: 2612f5a7868cc872718d354feea96bb7b02983b964e8240bb4d5b9f912d78f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6772069f11078802d26c2de834277d863cfd7e198d1b6cdc3d1aaf0bb7bf3496",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-11-11T20:21:43Z",
    "title_canon_sha256": "7e7e8b7eb959281139b304d9c44770c26654d386b6983ee7c5390fd217a7afb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9811037",
    "kind": "arxiv",
    "version": 2
  }
}