Pith Number

pith:ISYXRQKO

pith:2015:ISYXRQKOUUAUIXLXNHOAX2Q5NN

not attested not anchored not stored refs pending

Complete Dictionary Recovery over the Sphere I: Overview and the Geometric Picture

John Wright, Ju Sun, Qing Qu

arxiv:1511.03607 v3 · 2015-11-11 · cs.IT · cs.CV · math.IT · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISYXRQKOUUAUIXLXNHOAX2Q5NN}

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	2026-05-18T00:52:32.783921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b178c14ea501445d7769dc0bea1d6b4af5ee44dd60f25f0e62099ce014c63c

Aliases

arxiv: 1511.03607 · arxiv_version: 1511.03607v3 · doi: 10.48550/arxiv.1511.03607 · pith_short_12: ISYXRQKOUUAU · pith_short_16: ISYXRQKOUUAUIXLX · pith_short_8: ISYXRQKO

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/ISYXRQKOUUAUIXLXNHOAX2Q5NN \
  | 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: 44b178c14ea501445d7769dc0bea1d6b4af5ee44dd60f25f0e62099ce014c63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c683e18794c13ed8604b01848adb17a77b28e05dd0d7a2dd022003db3736fc",
    "cross_cats_sorted": [
      "cs.CV",
      "math.IT",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-11T19:09:22Z",
    "title_canon_sha256": "d2c34462695bcab95e3f80431f2d4046c77a7d969731e8f6d8a236e5e0587b68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03607",
    "kind": "arxiv",
    "version": 3
  }
}