Pith Number

pith:APYMNVP6

pith:2012:APYMNVP6WWIBR72ZBHCZXBY7KZ

not attested not anchored not stored refs pending

Weighted Fusion Frame Construction via Spectral Tetris

Jesse Peterson, Peter G. Casazza

arxiv:1207.4849 v1 · 2012-07-20 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APYMNVP6WWIBR72ZBHCZXBY7KZ}

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	2026-05-18T03:50:34.903327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f0c6d5feb59018ff5909c59b871f566005e10b8e374424b23d0e780227e0f5

Aliases

arxiv: 1207.4849 · arxiv_version: 1207.4849v1 · doi: 10.48550/arxiv.1207.4849 · pith_short_12: APYMNVP6WWIB · pith_short_16: APYMNVP6WWIBR72Z · pith_short_8: APYMNVP6

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/APYMNVP6WWIBR72ZBHCZXBY7KZ \
  | 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: 03f0c6d5feb59018ff5909c59b871f566005e10b8e374424b23d0e780227e0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0356053a631dc66cae4aec08bab160cd57ca48da069248adb255413752bb7edc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-07-20T03:54:38Z",
    "title_canon_sha256": "3414272fc8a4da0ec6c67fba78124d1ce80867d98fa73cb4c10b1bb514f13b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4849",
    "kind": "arxiv",
    "version": 1
  }
}