Pith Number

pith:LL4Q3LTF

pith:2012:LL4Q3LTFYYM55OKW7T2S2H7AZY

not attested not anchored not stored refs pending

Optimal completions of a frame

D. Stojanoff, M. Ruiz, P. Massey

arxiv:1206.3588 v1 · 2012-06-15 · 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{LL4Q3LTFYYM55OKW7T2S2H7AZY}

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	2026-05-18T03:53:19.418265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af90dae65c619deb956fcf52d1fe0ce3d361e08e83ceaa0732c467ee30e0fe9

Aliases

arxiv: 1206.3588 · arxiv_version: 1206.3588v1 · doi: 10.48550/arxiv.1206.3588 · pith_short_12: LL4Q3LTFYYM5 · pith_short_16: LL4Q3LTFYYM55OKW · pith_short_8: LL4Q3LTF

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/LL4Q3LTFYYM55OKW7T2S2H7AZY \
  | 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: 5af90dae65c619deb956fcf52d1fe0ce3d361e08e83ceaa0732c467ee30e0fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6527f067aeb46492adb37222b21bbca6df136917dc1d69c00bf9e17a03bb964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-15T20:24:30Z",
    "title_canon_sha256": "66a064e438c5e1a429a6196f70b4303586141159e370bfe889c55f6ae6e11c25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3588",
    "kind": "arxiv",
    "version": 1
  }
}