Pith Number

pith:IG7K76BN

pith:2012:IG7K76BNGUH7PEOSHTZ43KZ4JB

not attested not anchored not stored refs pending

The road to deterministic matrices with the restricted isometry property

Afonso S. Bandeira, Dustin G. Mixon, Matthew Fickus, Percy Wong

arxiv:1202.1234 v2 · 2012-02-06 · 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{IG7K76BNGUH7PEOSHTZ43KZ4JB}

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	2026-05-18T04:01:39.208844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41beaff82d350ff791d23cf3cdab3c4859da99e09346cfe43c639919b8d44431

Aliases

arxiv: 1202.1234 · arxiv_version: 1202.1234v2 · doi: 10.48550/arxiv.1202.1234 · pith_short_12: IG7K76BNGUH7 · pith_short_16: IG7K76BNGUH7PEOS · pith_short_8: IG7K76BN

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/IG7K76BNGUH7PEOSHTZ43KZ4JB \
  | 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: 41beaff82d350ff791d23cf3cdab3c4859da99e09346cfe43c639919b8d44431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dfa49a63dc883f9a2b14484100cd32f523bdcdb4e19e17800130e4c78f6095c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-02-06T18:32:56Z",
    "title_canon_sha256": "b389d778b404101d77937dd347181d7211f000d18b9834551260825aeb2824b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1234",
    "kind": "arxiv",
    "version": 2
  }
}