Pith Number

pith:4LMHS3GP

pith:2010:4LMHS3GP6PRSK7HZTJMQKF2EXD

not attested not anchored not stored refs pending

Using Time Drift of Cosmological Redshifts to find the Mass-Energy Density of the Universe

M. E. Araujo, W.R. Stoeger

arxiv:1009.2783 v1 · 2010-09-14 · 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{4LMHS3GP6PRSK7HZTJMQKF2EXD}

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	2026-05-18T04:32:36.051154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d8796ccff3e3257cf99a59051744b8c8da8d96d371735fe9644b73efca6147

Aliases

arxiv: 1009.2783 · arxiv_version: 1009.2783v1 · doi: 10.48550/arxiv.1009.2783 · pith_short_12: 4LMHS3GP6PRS · pith_short_16: 4LMHS3GP6PRSK7HZ · pith_short_8: 4LMHS3GP

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/4LMHS3GP6PRSK7HZTJMQKF2EXD \
  | 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: e2d8796ccff3e3257cf99a59051744b8c8da8d96d371735fe9644b73efca6147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "742096069cce93f34a0a0a6724720c5a87402464e042df9ff2bc6b720a313e15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-14T20:47:53Z",
    "title_canon_sha256": "f4e6ac0553530ff2ffbe0e8e49ff348b7f5087753a0a3e14ea02a2375d9cd918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2783",
    "kind": "arxiv",
    "version": 1
  }
}