Pith Number

pith:LM4WNA26

pith:2009:LM4WNA26D5OYMZJXBZSFTD3RFI

not attested not anchored not stored refs pending

On vacuum density, the initial singularity and dark energy

Reza Tavakol, Saulo Carneiro

arxiv:0905.3131 v1 · 2009-05-19 · astro-ph.CO · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LM4WNA26D5OYMZJXBZSFTD3RFI}

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	2026-05-18T04:23:35.329748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3966835e1f5d8665370e64598f712a2a5e9b403ad47748a3c5767572f35f4d

Aliases

arxiv: 0905.3131 · arxiv_version: 0905.3131v1 · doi: 10.48550/arxiv.0905.3131 · pith_short_12: LM4WNA26D5OY · pith_short_16: LM4WNA26D5OYMZJX · pith_short_8: LM4WNA26

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/LM4WNA26D5OYMZJXBZSFTD3RFI \
  | 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: 5b3966835e1f5d8665370e64598f712a2a5e9b403ad47748a3c5767572f35f4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd54456fbf3c10489728b462dbab0d355716e900290e47b73ff3b2d3ec598bac",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-19T15:15:21Z",
    "title_canon_sha256": "cd4b9636b119cee1f2bdb44730765f08653bac71007a7cf1ed1d4bbdd64ddfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3131",
    "kind": "arxiv",
    "version": 1
  }
}