Pith Number

pith:JRMTRGAY

pith:2013:JRMTRGAYKGWUARYNNDDB3VU5F4

not attested not anchored not stored refs pending

Can we allow linear dependencies in the dictionary in the sparse synthesis framework?

Michael Elad, Raja Giryes

arxiv:1303.5655 v1 · 2013-03-22 · cs.IT · 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{JRMTRGAYKGWUARYNNDDB3VU5F4}

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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	2026-05-18T03:30:03.585102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5938981851ad40470d68c61dd69d2f08f4f6c6ef52ea5d5074b4f98ae01244

Aliases

arxiv: 1303.5655 · arxiv_version: 1303.5655v1 · doi: 10.48550/arxiv.1303.5655 · pith_short_12: JRMTRGAYKGWU · pith_short_16: JRMTRGAYKGWUARYN · pith_short_8: JRMTRGAY

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/JRMTRGAYKGWUARYNNDDB3VU5F4 \
  | 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: 4c5938981851ad40470d68c61dd69d2f08f4f6c6ef52ea5d5074b4f98ae01244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9830ad682584dc9e2c861d020641fe294117fe3eb93be47154af21c6ecdd5aa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-03-22T16:11:24Z",
    "title_canon_sha256": "d4a8d230ad39ca862500847f3ab5b8f1e499df9514fcfaa366ac08b43a3b48bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5655",
    "kind": "arxiv",
    "version": 1
  }
}