Pith Number

pith:V3ABIRAO

pith:2011:V3ABIRAOK3BMITI5VR4U7WSUS2

not attested not anchored not stored refs pending

A sequence of zero modes of Weyl-Dirac operators and an associated sequence of solvable polynomials

T. Umeda, Y. Saito

arxiv:1101.3133 v1 · 2011-01-17 · 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{V3ABIRAOK3BMITI5VR4U7WSUS2}

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	2026-05-18T04:31:30.437354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec014440e56c2c44d1dac794fda5496bf97b8e41437e3a6d3abd0227716f373

Aliases

arxiv: 1101.3133 · arxiv_version: 1101.3133v1 · doi: 10.48550/arxiv.1101.3133 · pith_short_12: V3ABIRAOK3BM · pith_short_16: V3ABIRAOK3BMITI5 · pith_short_8: V3ABIRAO

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/V3ABIRAOK3BMITI5VR4U7WSUS2 \
  | 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: aec014440e56c2c44d1dac794fda5496bf97b8e41437e3a6d3abd0227716f373

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43baf1a53cea575850b22e4ce8fb91842f6201249a24467fadae969257f6aef6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-17T07:21:49Z",
    "title_canon_sha256": "18e860052f879d4977ba1104db558a1c72fe4b428fb63aabf2fbb87c9a8fe3f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3133",
    "kind": "arxiv",
    "version": 1
  }
}