Pith Number

pith:DBHFWGAV

pith:2021:DBHFWGAVPZ277Y634LSDV6PRSN

not attested not anchored not stored refs pending

The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials

Mengxuan Yang

arxiv:2105.06542 v2 · 2021-05-13 · math.AP · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBHFWGAVPZ277Y634LSDV6PRSN}

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	2026-07-05T03:52:57.736199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184e5b18157e75ffe3dbe2e43af9f19346a0e397f705b56eb9586e455ee43f94

Aliases

arxiv: 2105.06542 · arxiv_version: 2105.06542v2 · doi: 10.48550/arxiv.2105.06542 · pith_short_12: DBHFWGAVPZ27 · pith_short_16: DBHFWGAVPZ277Y63 · pith_short_8: DBHFWGAV

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/DBHFWGAVPZ277Y634LSDV6PRSN \
  | 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: 184e5b18157e75ffe3dbe2e43af9f19346a0e397f705b56eb9586e455ee43f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a80d39a5295b0755b5867f36ebbc33cc014a0861d32c432a49cdf1db6d687f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-05-13T20:25:54Z",
    "title_canon_sha256": "0a2e2b61a9ce2dfdf6ec23c79984d5b6bc63217eb4bd13526c29d2bf69680dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.06542",
    "kind": "arxiv",
    "version": 2
  }
}