Pith Number

pith:5VLLLPN5

pith:2010:5VLLLPN55FQN5BMWQZ7EQBEFN7

not attested not anchored not stored refs pending

Multipole analysis in cosmic topology

Peter Kramer

arxiv:1009.5825 v1 · 2010-09-29 · astro-ph.CO · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VLLLPN55FQN5BMWQZ7EQBEFN7}

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	2026-05-18T02:05:13.688270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed56b5bdbde960de8596867e4804856ffcf8507cd877a7c3c8ca6e0d54b19d9e

Aliases

arxiv: 1009.5825 · arxiv_version: 1009.5825v1 · doi: 10.48550/arxiv.1009.5825 · pith_short_12: 5VLLLPN55FQN · pith_short_16: 5VLLLPN55FQN5BMW · pith_short_8: 5VLLLPN5

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/5VLLLPN55FQN5BMWQZ7EQBEFN7 \
  | 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: ed56b5bdbde960de8596867e4804856ffcf8507cd877a7c3c8ca6e0d54b19d9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73549f0b091d88acd980ea2fc531f3a05e6c4d2a6f5df5dc9fdbbbe87f6e416a",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-09-29T09:59:31Z",
    "title_canon_sha256": "e002b7180a576ee9899c7a096fb08fbb25b220e9d618e481e6ec330481be08aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5825",
    "kind": "arxiv",
    "version": 1
  }
}