Pith Number

pith:R67N4QXP

pith:2004:R67N4QXPRYNR6MAQJ6BGEJUXGW

not attested not anchored not stored refs pending

Entropy Bounds and Dark Energy

Stephen D.H. Hsu

arxiv:hep-th/0403052 v2 · 2004-03-03 · 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{R67N4QXPRYNR6MAQJ6BGEJUXGW}

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	2026-07-04T15:20:28.515839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fbede42ef8e1b1f30104f8262269735af6b3928c9120c61018e0c16eb8324f7

Aliases

arxiv: hep-th/0403052 · arxiv_version: hep-th/0403052v2 · doi: 10.48550/arxiv.hep-th/0403052 · pith_short_12: R67N4QXPRYNR · pith_short_16: R67N4QXPRYNR6MAQ · pith_short_8: R67N4QXP

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/R67N4QXPRYNR6MAQJ6BGEJUXGW \
  | 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: 8fbede42ef8e1b1f30104f8262269735af6b3928c9120c61018e0c16eb8324f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f37f2d43246672e4c4b655f01eca3acd286d2c6bcaa64c3a162ea51e72ecd271",
    "cross_cats_sorted": [
      "astro-ph",
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-03-03T22:48:00Z",
    "title_canon_sha256": "0bd2d856d4db05185ffcb03f4b3bcde9bac20c91fce5a7977503b5ad51c87427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0403052",
    "kind": "arxiv",
    "version": 2
  }
}