Pith Number

pith:5B3VPRK4

pith:2001:5B3VPRK4NMCDLBXNMPCB2GP47I

not attested not anchored not stored refs pending

Cosmological constant problems and their solutions

Alexander Vilenkin

arxiv:hep-th/0106083 v2 · 2001-06-11 · hep-th · 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{5B3VPRK4NMCDLBXNMPCB2GP47I}

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	2026-07-04T15:02:18.213974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87757c55c6b043586ed63c41d19fcfa2b3eb26e940f55417a46c71ee145eeb2

Aliases

arxiv: hep-th/0106083 · arxiv_version: hep-th/0106083v2 · doi: 10.48550/arxiv.hep-th/0106083 · pith_short_12: 5B3VPRK4NMCD · pith_short_16: 5B3VPRK4NMCDLBXN · pith_short_8: 5B3VPRK4

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/5B3VPRK4NMCDLBXNMPCB2GP47I \
  | 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: e87757c55c6b043586ed63c41d19fcfa2b3eb26e940f55417a46c71ee145eeb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078480bcc47bdfa6814edcb7dc08932f1ce720b5701bd351032b16933e5d991b",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-06-11T18:22:38Z",
    "title_canon_sha256": "b342c8ec0529332fcd5c01c38444613bac6a2fd9532d2bf49adbde9b28a0efc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0106083",
    "kind": "arxiv",
    "version": 2
  }
}