Pith Number

pith:SBOSBWJU

pith:2012:SBOSBWJUSU2PVCEVYG24OXFEWF

not attested not anchored not stored refs pending

New bounds for spherical two-distance sets

Alexander Barg, Wei-Hsuan Yu

arxiv:1204.5268 v2 · 2012-04-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBOSBWJUSU2PVCEVYG24OXFEWF}

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	2026-05-18T03:35:41.105164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905d20d9349534fa8895c1b5c75ca4b1588ee01e3cc4d75a865157ad34a32b80

Aliases

arxiv: 1204.5268 · arxiv_version: 1204.5268v2 · doi: 10.48550/arxiv.1204.5268 · pith_short_12: SBOSBWJUSU2P · pith_short_16: SBOSBWJUSU2PVCEV · pith_short_8: SBOSBWJU

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/SBOSBWJUSU2PVCEVYG24OXFEWF \
  | 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: 905d20d9349534fa8895c1b5c75ca4b1588ee01e3cc4d75a865157ad34a32b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c28cf3b7fa7fd06d30f8c5a2fe0bb815493b3cfdddba5f1604b127ed14fd8579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-04-24T04:18:58Z",
    "title_canon_sha256": "321063e9213ac63fff17c67408f8840ed5d3accf93c14460f8a6bf5d89eae8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5268",
    "kind": "arxiv",
    "version": 2
  }
}