Pith Number

pith:YANC27JN

pith:2005:YANC27JN7CT5SAXTNMGJODXB3B

not attested not anchored not stored refs pending

In an expanding universe, what doesn't expand?

Joseph D. Romano, Richard H. Price

arxiv:gr-qc/0508052 v2 · 2005-08-12 · 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{YANC27JN7CT5SAXTNMGJODXB3B}

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	2026-05-18T04:04:55.424311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01a2d7d2df8a7d902f36b0c970ee1d84609f158e306951fa14bf213a358680c

Aliases

arxiv: gr-qc/0508052 · arxiv_version: gr-qc/0508052v2 · doi: 10.48550/arxiv.gr-qc/0508052 · pith_short_12: YANC27JN7CT5 · pith_short_16: YANC27JN7CT5SAXT · pith_short_8: YANC27JN

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/YANC27JN7CT5SAXTNMGJODXB3B \
  | 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: c01a2d7d2df8a7d902f36b0c970ee1d84609f158e306951fa14bf213a358680c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e5d0a3710ed9bcbabafc061b56c03b7456fae74bc4db32b6ced30ce6de9aba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-08-12T14:46:30Z",
    "title_canon_sha256": "a052c2708eee5d945c8fad9391e7d17cdbbe42d637094253b527a396cbd36b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0508052",
    "kind": "arxiv",
    "version": 2
  }
}