Pith Number

pith:AMKX6KYF

pith:2020:AMKX6KYFT6NDGOZKUUZFET5CBG

not attested not anchored not stored refs pending

Stahl-Totik Regularity for Dirac Operators

Benjamin Eichinger, Ethan Gwaltney, Milivoje Luki\'c

arxiv:2012.12889 v1 · 2020-12-23 · math.SP · math-ph · math.CA · 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{AMKX6KYFT6NDGOZKUUZFET5CBG}

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	2026-07-05T02:01:43.306159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03157f2b059f9a333b2aa532524fa209a628b06329139dd9a48080b03058f555

Aliases

arxiv: 2012.12889 · arxiv_version: 2012.12889v1 · doi: 10.48550/arxiv.2012.12889 · pith_short_12: AMKX6KYFT6ND · pith_short_16: AMKX6KYFT6NDGOZK · pith_short_8: AMKX6KYF

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/AMKX6KYFT6NDGOZKUUZFET5CBG \
  | 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: 03157f2b059f9a333b2aa532524fa209a628b06329139dd9a48080b03058f555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972ccdfda50e8cf0507e72b10bffc95ba3092975c7aae72075ff3e0d2e4e23d9",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2020-12-23T18:55:27Z",
    "title_canon_sha256": "10d2be3b89e6a9216c444d567af5f5c3edad6c607d4bcaa46a479c49e1552490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.12889",
    "kind": "arxiv",
    "version": 1
  }
}