Pith Number

pith:LAHBZLC7

pith:2014:LAHBZLC726XHIQ5JCAACMRHXBU

not attested not anchored not stored refs pending

A short proof for the characterisation of tight frames

Gergely Ambrus

arxiv:1403.7382 v1 · 2014-03-28 · math.CA · 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{LAHBZLC726XHIQ5JCAACMRHXBU}

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	2026-05-18T02:55:19.785825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580e1cac5fd7ae7443a910002644f70d113a5ca16919819210797d3a20eb2214

Aliases

arxiv: 1403.7382 · arxiv_version: 1403.7382v1 · doi: 10.48550/arxiv.1403.7382 · pith_short_12: LAHBZLC726XH · pith_short_16: LAHBZLC726XHIQ5J · pith_short_8: LAHBZLC7

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/LAHBZLC726XHIQ5JCAACMRHXBU \
  | 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: 580e1cac5fd7ae7443a910002644f70d113a5ca16919819210797d3a20eb2214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb53dd51ab6aea856b1e6e74d70c32ff854cf146d4e3a71e2259d915bf6fd71",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-28T14:10:30Z",
    "title_canon_sha256": "fac53acab4860a1ce94c68c4841a92a6b101c927b9dd53872fbd413575847fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7382",
    "kind": "arxiv",
    "version": 1
  }
}