Pith Number

pith:Q2FR2RRC

pith:2012:Q2FR2RRCD2D57XJYBHWAI6CGF7

not attested not anchored not stored refs pending

Scalable Frames

Elizabeth K. Tuley, Friedrich Philipp, Gitta Kutyniok, Kasso A. Okoudjou

arxiv:1204.1880 v3 · 2012-04-09 · math.NA · cs.IT · cs.NA · math.FA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2FR2RRCD2D57XJYBHWAI6CGF7}

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	2026-05-18T03:57:52.659147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

868b1d46221e87dfdd3809ec0478462ff649e7c8f111e37d1fa092ca7b3a08fc

Aliases

arxiv: 1204.1880 · arxiv_version: 1204.1880v3 · doi: 10.48550/arxiv.1204.1880 · pith_short_12: Q2FR2RRCD2D5 · pith_short_16: Q2FR2RRCD2D57XJY · pith_short_8: Q2FR2RRC

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/Q2FR2RRCD2D57XJYBHWAI6CGF7 \
  | 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: 868b1d46221e87dfdd3809ec0478462ff649e7c8f111e37d1fa092ca7b3a08fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155fefae3ee7711d4daee626f7c1bd687946f45cc2ec0dff95f7baa3ee4e94f4",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.NA",
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-04-09T14:04:02Z",
    "title_canon_sha256": "8798bcf038baba3a87107515c8ca1474a7861033cf4eda99ea8a0bb470678e08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1880",
    "kind": "arxiv",
    "version": 3
  }
}