Pith Number

pith:BDYDE6TN

pith:2016:BDYDE6TNPG67FGOIBTFREH3SNO

not attested not anchored not stored refs pending

Minimax principles, Hardy-Dirac inequalities and operator cores for two and three dimensional Coulomb-Dirac operators

David M\"uller

arxiv:1603.01557 v1 · 2016-03-04 · 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{BDYDE6TNPG67FGOIBTFREH3SNO}

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	2026-05-18T01:19:35.713691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08f0327a6d79bdf299c80ccb121f726b98791e7c637d3563fc57decdda9f17e4

Aliases

arxiv: 1603.01557 · arxiv_version: 1603.01557v1 · doi: 10.48550/arxiv.1603.01557 · pith_short_12: BDYDE6TNPG67 · pith_short_16: BDYDE6TNPG67FGOI · pith_short_8: BDYDE6TN

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/BDYDE6TNPG67FGOIBTFREH3SNO \
  | 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: 08f0327a6d79bdf299c80ccb121f726b98791e7c637d3563fc57decdda9f17e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e92ddcb0ab918bbb559735dcba8441bafe498d557f12b6a50e2f6b24d5dd369c",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-04T18:19:10Z",
    "title_canon_sha256": "c570c61df6793a3f0b79649505d2c9dee32a826f3e13ddc67a4c70cbf48456c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01557",
    "kind": "arxiv",
    "version": 1
  }
}