Pith Number

pith:57XDNEZF

pith:2008:57XDNEZFTUMGAPOSR7LX3MXFET

not attested not anchored not stored refs pending

Time variable $\Lambda$ and the accelerating Universe

A. A. Usmani, Partha Pratim Ghosh, Saibal Ray, U. Mukhopadhyay

arxiv:0811.0782 v3 · 2008-11-05 · 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{57XDNEZFTUMGAPOSR7LX3MXFET}

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	2026-05-18T04:31:12.242856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efee3693259d18603dd28fd77db2e524dcd5197fa3567a4b275db7185df4e927

Aliases

arxiv: 0811.0782 · arxiv_version: 0811.0782v3 · doi: 10.48550/arxiv.0811.0782 · pith_short_12: 57XDNEZFTUMG · pith_short_16: 57XDNEZFTUMGAPOS · pith_short_8: 57XDNEZF

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/57XDNEZFTUMGAPOSR7LX3MXFET \
  | 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: efee3693259d18603dd28fd77db2e524dcd5197fa3567a4b275db7185df4e927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f79eea0b8c8fac59762553359ca06ddd646e14517d4805159c8f471d2d84323a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2008-11-05T17:40:23Z",
    "title_canon_sha256": "80ac1a732a644c440bd21af6ec3067cec45cd955ac1329c8af9be165218adb56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.0782",
    "kind": "arxiv",
    "version": 3
  }
}