Pith Number

pith:A4TKP7NI

pith:2000:A4TKP7NIE5TLV4TI6RF5TZQQJY

not attested not anchored not stored refs pending

Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem

David Mattingly, Ted Jacobson

arxiv:hep-th/0009052 v2 · 2000-09-08 · hep-th · 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{A4TKP7NIE5TLV4TI6RF5TZQQJY}

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	2026-07-04T15:26:46.429211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c

Aliases

arxiv: hep-th/0009052 · arxiv_version: hep-th/0009052v2 · doi: 10.48550/arxiv.hep-th/0009052 · pith_short_12: A4TKP7NIE5TL · pith_short_16: A4TKP7NIE5TLV4TI · pith_short_8: A4TKP7NI

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/A4TKP7NIE5TLV4TI6RF5TZQQJY \
  | 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: 0726a7fda82766baf268f44bd9e6104e0fd950995b3266d1e461684ecbe8543c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d748e1839aa0372159578d6a117d6a57c76f476bfc155b01ad7185807126db32",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-09-08T00:45:37Z",
    "title_canon_sha256": "e82313ad5c73867ca1a3f11bf38c650330e9e9db17a62d73b47d457ea3f7f7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0009052",
    "kind": "arxiv",
    "version": 2
  }
}