Pith Number

pith:YEH37ZXU

pith:2013:YEH37ZXUJMOH7EBYP7TGBVAQL7

not attested not anchored not stored refs pending

Trace formula for fourth order operators on the circle

Andrey Badanin, Evgeny Korotyaev

arxiv:1307.1269 v1 · 2013-07-04 · 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{YEH37ZXUJMOH7EBYP7TGBVAQL7}

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	2026-05-18T03:19:14.231652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c10fbfe6f44b1c7f90387fe660d4105fd596f7131400e2d0835f698eed24fd6e

Aliases

arxiv: 1307.1269 · arxiv_version: 1307.1269v1 · doi: 10.48550/arxiv.1307.1269 · pith_short_12: YEH37ZXUJMOH · pith_short_16: YEH37ZXUJMOH7EBY · pith_short_8: YEH37ZXU

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/YEH37ZXUJMOH7EBYP7TGBVAQL7 \
  | 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: c10fbfe6f44b1c7f90387fe660d4105fd596f7131400e2d0835f698eed24fd6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f594865e108d93ef099424c06cc5ec2c60559900c6605ebf9baa39b0345ffa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-04T10:51:11Z",
    "title_canon_sha256": "02cf2b1c87234cae16c42a139c602800b9763247ee6171f8645f697664412c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1269",
    "kind": "arxiv",
    "version": 1
  }
}