Pith Number

pith:3PP7KJNR

pith:2016:3PP7KJNRHFAGY2COOFOONF2JOW

not attested not anchored not stored refs pending

Asymptotics of determinants of 4-th order operators at zero

Andrey Badanin, Evgeny Korotyaev

arxiv:1612.07500 v1 · 2016-12-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PP7KJNRHFAGY2COOFOONF2JOW}

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	2026-05-18T00:54:09.895104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbdff525b139406c684e715ce6974975a280cdaa504fc353835d98f7cc9b6571

Aliases

arxiv: 1612.07500 · arxiv_version: 1612.07500v1 · doi: 10.48550/arxiv.1612.07500 · pith_short_12: 3PP7KJNRHFAG · pith_short_16: 3PP7KJNRHFAGY2CO · pith_short_8: 3PP7KJNR

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/3PP7KJNRHFAGY2COOFOONF2JOW \
  | 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: dbdff525b139406c684e715ce6974975a280cdaa504fc353835d98f7cc9b6571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5f57f62c79dc4e001005747d000efac20e05b3c1d68360a4bc407cb2353df92",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-22T09:21:21Z",
    "title_canon_sha256": "155939bf21fe414f610da763237d3e8c32221f273727a8ecb943fd04e9547446"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07500",
    "kind": "arxiv",
    "version": 1
  }
}