Pith Number

pith:2T2PUZ6N

pith:2013:2T2PUZ6NPS3N62JC2VHSC3HKZT

not attested not anchored not stored refs pending

Random fusion frames are nearly equiangular and tight

Bernhard G. Bodmann

arxiv:1303.5816 v1 · 2013-03-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T2PUZ6NPS3N62JC2VHSC3HKZT}

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	2026-05-18T03:30:01.193394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f4fa67cd7cb6df6922d54f216ceaccdb41e884ae0248a17cb4e8932ed08722

Aliases

arxiv: 1303.5816 · arxiv_version: 1303.5816v1 · doi: 10.48550/arxiv.1303.5816 · pith_short_12: 2T2PUZ6NPS3N · pith_short_16: 2T2PUZ6NPS3N62JC · pith_short_8: 2T2PUZ6N

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/2T2PUZ6NPS3N62JC2VHSC3HKZT \
  | 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: d4f4fa67cd7cb6df6922d54f216ceaccdb41e884ae0248a17cb4e8932ed08722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31bbdb0009c50e995299904c26c44a43cab39e570a8df0dc07d656566a52c132",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-23T04:16:23Z",
    "title_canon_sha256": "fb8c8eff9984da6c9e8b2f2185786ffcc7facd3c58d09718062280c585ad35f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5816",
    "kind": "arxiv",
    "version": 1
  }
}