Pith Number

pith:DKCHVDHS

pith:2020:DKCHVDHSJAGL7WNKYSWLZSRRET

not attested not anchored not stored refs pending

Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities

Jean Dolbeault, Maria J. Esteban, Michael Loss

arxiv:2011.00039 v1 · 2020-10-30 · 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{DKCHVDHSJAGL7WNKYSWLZSRRET}

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.

Cited by

1 paper in Pith

Closed-form predictive coding via hierarchical Gaussian filters

Receipt and verification

First computed	2026-07-05T01:47:56.371184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a847a8cf2480cbfd9aac4acbcca3124c8340a9ee9a9b8561e30ea78f695256a

Aliases

arxiv: 2011.00039 · arxiv_version: 2011.00039v1 · doi: 10.48550/arxiv.2011.00039 · pith_short_12: DKCHVDHSJAGL · pith_short_16: DKCHVDHSJAGL7WNK · pith_short_8: DKCHVDHS

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/DKCHVDHSJAGL7WNKYSWLZSRRET \
  | 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: 1a847a8cf2480cbfd9aac4acbcca3124c8340a9ee9a9b8561e30ea78f695256a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c8c847b2f9839019175f5fc91dd90b370a344f7dd57170539dc5278d2ff24e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-30T18:37:07Z",
    "title_canon_sha256": "2d90f03ad1e633319c6a2f28953771804f7f25f859a2d33743266f688c140472"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.00039",
    "kind": "arxiv",
    "version": 1
  }
}