Pith Number

pith:RM6ILUS6

pith:2012:RM6ILUS6UH56NUKYNXFVWPXQI7

not attested not anchored not stored refs pending

The Planck length as a duality of the Cosmological Constant: S-dS and S-AdS thermodynamics from a single expression

Ivan Arraut

arxiv:1205.6905 v3 · 2012-05-31 · 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{RM6ILUS6UH56NUKYNXFVWPXQI7}

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	2026-05-18T03:45:55.189833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3c85d25ea1fbe6d1586dcb5b3ef047fd26624c112ea52fef5a7967a4090e5a

Aliases

arxiv: 1205.6905 · arxiv_version: 1205.6905v3 · doi: 10.48550/arxiv.1205.6905 · pith_short_12: RM6ILUS6UH56 · pith_short_16: RM6ILUS6UH56NUKY · pith_short_8: RM6ILUS6

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/RM6ILUS6UH56NUKYNXFVWPXQI7 \
  | 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: 8b3c85d25ea1fbe6d1586dcb5b3ef047fd26624c112ea52fef5a7967a4090e5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea16403ec5ab70c1204855382ce3a379e7e7d4592a65cd875c3f7abd4b9a38ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-31T07:44:45Z",
    "title_canon_sha256": "cd5fe1f505826760d6c7b21e800bd5c124c140c0852a841ca32568b934bc3e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6905",
    "kind": "arxiv",
    "version": 3
  }
}