Pith Number

pith:F36DFAT5

pith:2016:F36DFAT5AQBKXXTB64R5OA3QVN

not attested not anchored not stored refs pending

On a one-dimensional quadratic operator pencil with a small periodic perturbation

Denis Borisov, Giuseppe Cardone

arxiv:1607.07542 v2 · 2016-07-26 · math.SP · math.CA · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F36DFAT5AQBKXXTB64R5OA3QVN}

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	2026-05-17T23:49:34.048905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2efc32827d0402abde61f723d70370ab79f7bab6ee8590a25efc10f8bda67ee7

Aliases

arxiv: 1607.07542 · arxiv_version: 1607.07542v2 · doi: 10.48550/arxiv.1607.07542 · pith_short_12: F36DFAT5AQBK · pith_short_16: F36DFAT5AQBKXXTB · pith_short_8: F36DFAT5

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/F36DFAT5AQBKXXTB64R5OA3QVN \
  | 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: 2efc32827d0402abde61f723d70370ab79f7bab6ee8590a25efc10f8bda67ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8f83767a456b72e73ac32734b2a80a9c66f2bded9267fdc019c384f686ae8f",
    "cross_cats_sorted": [
      "math.CA",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-07-26T05:17:34Z",
    "title_canon_sha256": "fe05c6b8c37d7d58b0dbb0e4d89b3f99a22be2777e00b5733a7d0ff96e304d09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07542",
    "kind": "arxiv",
    "version": 2
  }
}