Pith Number

pith:2S5X5F7T

pith:2011:2S5X5F7T6LXYXMEA6HEY7MBIBH

not attested not anchored not stored refs pending

Could our Universe have begun with Negative Lambda?

Anupam Mazumdar, Tirthabir Biswas, Tomi Koivisto

arxiv:1105.2636 v2 · 2011-05-13 · astro-ph.CO · 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{2S5X5F7T6LXYXMEA6HEY7MBIBH}

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	2026-05-18T03:51:47.330489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4bb7e97f3f2ef8bb080f1c98fb02809d753dad01fdfb1ab48307617e19e199f

Aliases

arxiv: 1105.2636 · arxiv_version: 1105.2636v2 · doi: 10.48550/arxiv.1105.2636 · pith_short_12: 2S5X5F7T6LXY · pith_short_16: 2S5X5F7T6LXYXMEA · pith_short_8: 2S5X5F7T

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/2S5X5F7T6LXYXMEA6HEY7MBIBH \
  | 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: d4bb7e97f3f2ef8bb080f1c98fb02809d753dad01fdfb1ab48307617e19e199f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0abc0519f70f28f9ef73d61ffa2f75a6d6095d9a3e4eb41b9cf12cc5a5504c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-13T07:46:47Z",
    "title_canon_sha256": "c368c135dea61ded4735769718e6e81351c4ed21383a16d02867c51d9d0df936"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2636",
    "kind": "arxiv",
    "version": 2
  }
}