Pith Number

pith:NGWNRMB3

pith:2016:NGWNRMB3TUUITZ7QFGCWLRBK4W

not attested not anchored not stored refs pending

A note on twisted Dirac operators on closed surfaces

Volker Branding

arxiv:1601.07816 v2 · 2016-01-28 · math.DG · 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{NGWNRMB3TUUITZ7QFGCWLRBK4W}

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	2026-05-18T00:14:23.185672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69acd8b03b9d2889e7f0298565c42ae5942d1f41d3b34f27ec6b4fa2391d1802

Aliases

arxiv: 1601.07816 · arxiv_version: 1601.07816v2 · doi: 10.48550/arxiv.1601.07816 · pith_short_12: NGWNRMB3TUUI · pith_short_16: NGWNRMB3TUUITZ7Q · pith_short_8: NGWNRMB3

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/NGWNRMB3TUUITZ7QFGCWLRBK4W \
  | 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: 69acd8b03b9d2889e7f0298565c42ae5942d1f41d3b34f27ec6b4fa2391d1802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23580d90087166373b46262e59920d06f5904bf33aaf735afe903c6fd897040f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-28T16:23:38Z",
    "title_canon_sha256": "5d16edce99a44662f623ac207edaab31d3e416eba1a4624acb508c89a96d002a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07816",
    "kind": "arxiv",
    "version": 2
  }
}