Pith Number

pith:OERBN6JP

pith:2017:OERBN6JPUJN3OBPBLLDFM4BI3X

not attested not anchored not stored refs pending

Lattices and quadratic forms from tight frames in Euclidean spaces

Albrecht Boettcher, Lenny Fukshansky

arxiv:1704.07735 v2 · 2017-04-25 · math.NT · math.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{OERBN6JPUJN3OBPBLLDFM4BI3X}

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	2026-05-18T00:03:32.616073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712216f92fa25bb705e15ac6567028ddf51e533f139381f6bc97f7979472e8dc

Aliases

arxiv: 1704.07735 · arxiv_version: 1704.07735v2 · doi: 10.48550/arxiv.1704.07735 · pith_short_12: OERBN6JPUJN3 · pith_short_16: OERBN6JPUJN3OBPB · pith_short_8: OERBN6JP

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/OERBN6JPUJN3OBPBLLDFM4BI3X \
  | 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: 712216f92fa25bb705e15ac6567028ddf51e533f139381f6bc97f7979472e8dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9bcb33577aaf5befeb7e78a7243e262f15428f574985527cd180b615118941",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-25T15:13:19Z",
    "title_canon_sha256": "f80983a6cedf743839fb0a3c5309dfb0e3078d597d8891ecb6edff2218bd032f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.07735",
    "kind": "arxiv",
    "version": 2
  }
}