Pith Number

pith:ZI3HLFDW

pith:1999:ZI3HLFDWVKBBIMLCW62ZTYRRNB

not attested not anchored not stored refs pending

Geometry and Destiny

(2) University of Chicago, 3) ((1)Case Western Reserve University, (3) Fermilab), Lawrence M. Krauss (1), Michael S. Turner (2

arxiv:astro-ph/9904020 v1 · 1999-04-01 · astro-ph · gr-qc · hep-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{ZI3HLFDWVKBBIMLCW62ZTYRRNB}

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	2026-05-18T02:40:27.628356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca36759476aa82143162b7b599e2316877744b5e9ff74e3615a520e7753d9b44

Aliases

arxiv: astro-ph/9904020 · arxiv_version: astro-ph/9904020v1 · doi: 10.48550/arxiv.astro-ph/9904020 · pith_short_12: ZI3HLFDWVKBB · pith_short_16: ZI3HLFDWVKBBIMLC · pith_short_8: ZI3HLFDW

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/ZI3HLFDWVKBBIMLCW62ZTYRRNB \
  | 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: ca36759476aa82143162b7b599e2316877744b5e9ff74e3615a520e7753d9b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "352096406850b065ec633c338b7035083f9ba8ac94c0513a18f775237021fcb7",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-04-01T22:42:50Z",
    "title_canon_sha256": "ce016841cb44daba616a0f87e994da062d7b7461587528848604c47708a29572"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9904020",
    "kind": "arxiv",
    "version": 1
  }
}