Pith Number

pith:CNFSE3YO

pith:2021:CNFSE3YORMRITVOH45C5R3JSTL

not attested not anchored not stored refs pending

Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications

Mengxuan Yang

arxiv:2112.10019 v2 · 2021-12-18 · math.AP · 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{CNFSE3YORMRITVOH45C5R3JSTL}

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	2026-07-05T04:43:37.959727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

134b226f0e8b2289d5c7e745d8ed329ad05494e37900ec12302aa5a0d80b68e9

Aliases

arxiv: 2112.10019 · arxiv_version: 2112.10019v2 · doi: 10.48550/arxiv.2112.10019 · pith_short_12: CNFSE3YORMRI · pith_short_16: CNFSE3YORMRITVOH · pith_short_8: CNFSE3YO

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/CNFSE3YORMRITVOH45C5R3JSTL \
  | 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: 134b226f0e8b2289d5c7e745d8ed329ad05494e37900ec12302aa5a0d80b68e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1d9c8fb89fd81a096662d2e83c7b732eee8afb51430ef7870519b35d753656",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-18T22:50:27Z",
    "title_canon_sha256": "5d16c34db62ddf2224008fa1cc2c570f406024cbb4f59c9d2910cb568ec8952c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10019",
    "kind": "arxiv",
    "version": 2
  }
}