Pith Number

pith:AYTX2ELG

pith:2015:AYTX2ELGXTSYWK6R56OIQJL357

not attested not anchored not stored refs pending

Extremal Polarization Configurations for Integrable Kernels

Brian Simanek

arxiv:1507.04813 v1 · 2015-07-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYTX2ELGXTSYWK6R56OIQJL357}

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	2026-05-18T01:36:42.736739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06277d1166bce58b2bd1ef9c88257befde12ec1889b656835be815e7aab5c17c

Aliases

arxiv: 1507.04813 · arxiv_version: 1507.04813v1 · doi: 10.48550/arxiv.1507.04813 · pith_short_12: AYTX2ELGXTSY · pith_short_16: AYTX2ELGXTSYWK6R · pith_short_8: AYTX2ELG

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/AYTX2ELGXTSYWK6R56OIQJL357 \
  | 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: 06277d1166bce58b2bd1ef9c88257befde12ec1889b656835be815e7aab5c17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde7fdb85853e7ab16449c0c2cc81644fd5bc4c1984533bc5f5fb8a3f1948fa3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-17T01:33:09Z",
    "title_canon_sha256": "314ee857ba6dc3c4b289e8794315d90559db4c3cfcfac2a5d36333f7aa216d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04813",
    "kind": "arxiv",
    "version": 1
  }
}