Pith Number

pith:XJAKPJCL

pith:2017:XJAKPJCLP762VXC62BHPLWWNHG

not attested not anchored not stored refs pending

Spectral flow for Dirac operators with magnetic links

Fabian Portmann, Jan Philip Solovej, J\'er\'emy Sok

arxiv:1701.05044 v3 · 2017-01-18 · 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{XJAKPJCLP762VXC62BHPLWWNHG}

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	2026-05-17T23:54:28.386875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba40a7a44b7ffdaadc5ed04ef5dacd39966a09018a5a7c30b3d74c3b23ee84a8

Aliases

arxiv: 1701.05044 · arxiv_version: 1701.05044v3 · doi: 10.48550/arxiv.1701.05044 · pith_short_12: XJAKPJCLP762 · pith_short_16: XJAKPJCLP762VXC6 · pith_short_8: XJAKPJCL

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/XJAKPJCLP762VXC62BHPLWWNHG \
  | 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: ba40a7a44b7ffdaadc5ed04ef5dacd39966a09018a5a7c30b3d74c3b23ee84a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9311f792d3b128279d88b76790407dfcce2344f03c0f6976ab15f34d9bdf21f2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-18T12:56:33Z",
    "title_canon_sha256": "ca87f1c9b4ceee543ce1e0c3b8758eaf653c3d342e5e78a27940f90c4a1c6f87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05044",
    "kind": "arxiv",
    "version": 3
  }
}