Pith Number

pith:5YVZZ7FS

pith:2017:5YVZZ7FSTHAJIT5RNELBQBQ734

not attested not anchored not stored refs pending

Isospectral Dirac operators

Tigran Harutyunyan, Yuri Ashrafyan

arxiv:1701.08428 v1 · 2017-01-29 · math.SP · 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{5YVZZ7FSTHAJIT5RNELBQBQ734}

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	2026-05-18T00:51:54.160566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2b9cfcb299c0944fb1691618061fdf2f1f7b0e9c890a7465d0794148659419

Aliases

arxiv: 1701.08428 · arxiv_version: 1701.08428v1 · doi: 10.48550/arxiv.1701.08428 · pith_short_12: 5YVZZ7FSTHAJ · pith_short_16: 5YVZZ7FSTHAJIT5R · pith_short_8: 5YVZZ7FS

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/5YVZZ7FSTHAJIT5RNELBQBQ734 \
  | 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: ee2b9cfcb299c0944fb1691618061fdf2f1f7b0e9c890a7465d0794148659419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6f14c4cf4af03f5fb0fd69132f9001c9b3acc9684822d8b3cb26cc3d635e66",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-01-29T20:52:10Z",
    "title_canon_sha256": "2442bfa03780bfb7922d0737acd5f7dac8763ceb32c371f3f8b809101313a8bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08428",
    "kind": "arxiv",
    "version": 1
  }
}