Pith Number

pith:KVQ776JT

pith:2013:KVQ776JTUDDPEMQ5LFORFHR6BK

not attested not anchored not stored refs pending

Pareto optimal structures producing resonances of minimal decay under $L^1$-type constraints

Illya M. Karabash

arxiv:1308.1943 v2 · 2013-08-08 · math.OC · math-ph · math.MP · math.SP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVQ776JTUDDPEMQ5LFORFHR6BK}

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	2026-05-18T02:49:20.289226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5561fff933a0c6f2321d595d129e3e0aa2a1c53aafac41ec99feef301c3f378e

Aliases

arxiv: 1308.1943 · arxiv_version: 1308.1943v2 · doi: 10.48550/arxiv.1308.1943 · pith_short_12: KVQ776JTUDDP · pith_short_16: KVQ776JTUDDPEMQ5 · pith_short_8: KVQ776JT

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/KVQ776JTUDDPEMQ5LFORFHR6BK \
  | 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: 5561fff933a0c6f2321d595d129e3e0aa2a1c53aafac41ec99feef301c3f378e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb257a6bec102e1f7fc77e16b29d93ffe35b5ebcf510c7a6d7c236355f9d71b6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-08-08T19:25:57Z",
    "title_canon_sha256": "b96314e0b38e05c17da1331e3e7faca3f10dfbce4f72e26c9206772e1449f794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1943",
    "kind": "arxiv",
    "version": 2
  }
}