Pith Number

pith:LGIC4HAM

pith:2010:LGIC4HAM4TLASESV5JIKFVQJ6B

not attested not anchored not stored refs pending

Spherical spaces for cosmic topology and multipole selection rules

Peter Kramer

arxiv:1011.4274 v1 · 2010-11-18 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGIC4HAM4TLASESV5JIKFVQJ6B}

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	2026-05-18T04:35:36.122562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59902e1c0ce4d6091255ea50a2d609f04471f6d54aa7ba272f841dc6e7c43591

Aliases

arxiv: 1011.4274 · arxiv_version: 1011.4274v1 · doi: 10.48550/arxiv.1011.4274 · pith_short_12: LGIC4HAM4TLA · pith_short_16: LGIC4HAM4TLASESV · pith_short_8: LGIC4HAM

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/LGIC4HAM4TLASESV5JIKFVQJ6B \
  | 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: 59902e1c0ce4d6091255ea50a2d609f04471f6d54aa7ba272f841dc6e7c43591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7914817aefd5bb5266d3a012223a125ab4dbf3806db910ad391cb7271f55ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-11-18T20:26:42Z",
    "title_canon_sha256": "3d59bce1657ecb6a7618cc6b0640e7103b6b94e344f905b863fdefe8d7501a01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4274",
    "kind": "arxiv",
    "version": 1
  }
}