Pith Number

pith:T4UVHGNM

pith:2015:T4UVHGNMQPVSMFJWY75VTIZHCQ

not attested not anchored not stored refs pending

Random Laplacian matrices and convex relaxations

Afonso S. Bandeira

arxiv:1504.03987 v2 · 2015-04-15 · math.PR · cs.DS · cs.SI · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4UVHGNMQPVSMFJWY75VTIZHCQ}

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	2026-05-18T01:36:18.075019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f295399ac83eb261536c7fb59a3271421a4987e32052af8f295294edf9e3260

Aliases

arxiv: 1504.03987 · arxiv_version: 1504.03987v2 · doi: 10.48550/arxiv.1504.03987 · pith_short_12: T4UVHGNMQPVS · pith_short_16: T4UVHGNMQPVSMFJW · pith_short_8: T4UVHGNM

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/T4UVHGNMQPVSMFJWY75VTIZHCQ \
  | 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: 9f295399ac83eb261536c7fb59a3271421a4987e32052af8f295294edf9e3260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1964a9bd2a5dbe6c38156b6370cae1b9b70664e6c0be693b320e304050c0bc6",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.SI",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-15T18:36:26Z",
    "title_canon_sha256": "057e04f3e90eceb1b74e8caaf03c60a7ff514d4cd16a62d222f2eeed42ded234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03987",
    "kind": "arxiv",
    "version": 2
  }
}