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Pith Number

pith:MG4MZ7J6

pith:2015:MG4MZ7J6T2CDUOKNOJ33DKH34G
not attested not anchored not stored refs pending

Ricci Time in the Lemaitre-Tolman Model and the Block Universe

Charles Hellaby, George F. R. Ellis, Yasser Elmahalawy

arxiv:1501.01850 v2 · 2015-01-08 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MG4MZ7J6T2CDUOKNOJ33DKH34G}

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 2026-05-18T01:32:30.374493Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

61b8ccfd3e9e843a394d7277b1a8fbe1b2d630f65539f878f4c14d5637b96c5e

Aliases

arxiv: 1501.01850 · arxiv_version: 1501.01850v2 · doi: 10.48550/arxiv.1501.01850 · pith_short_12: MG4MZ7J6T2CD · pith_short_16: MG4MZ7J6T2CDUOKN · pith_short_8: MG4MZ7J6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MG4MZ7J6T2CDUOKNOJ33DKH34G \
  | 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: 61b8ccfd3e9e843a394d7277b1a8fbe1b2d630f65539f878f4c14d5637b96c5e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f6f49833007f2cd0cd471cbaead239c2800d3257cfb5488d58cf23773a3ef24e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-08T13:59:24Z",
    "title_canon_sha256": "de9a7e30a63033e1af86963a635e791a6ed302863036854e86acfda272973c45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01850",
    "kind": "arxiv",
    "version": 2
  }
}