Pith Number

pith:3C4QZMPB

pith:2016:3C4QZMPB3ETS3QYWLREXRYOQR7

not attested not anchored not stored refs pending

Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric

Alan McIntosh, Andreas Ros\'en, Lashi Bandara

arxiv:1603.03647 v2 · 2016-03-11 · math.AP · math.DG · 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{3C4QZMPB3ETS3QYWLREXRYOQR7}

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	2026-05-17T23:41:37.578689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b90cb1e1d9272dc3165c4978e1d08ff3497ef69969240c7b776a43862f6f39

Aliases

arxiv: 1603.03647 · arxiv_version: 1603.03647v2 · doi: 10.48550/arxiv.1603.03647 · pith_short_12: 3C4QZMPB3ETS · pith_short_16: 3C4QZMPB3ETS3QYW · pith_short_8: 3C4QZMPB

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/3C4QZMPB3ETS3QYWLREXRYOQR7 \
  | 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: d8b90cb1e1d9272dc3165c4978e1d08ff3497ef69969240c7b776a43862f6f39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7d06666445da6a833ff9b92ffcceebea853afa4e7bc95bbec92c1f73890514",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-11T14:44:35Z",
    "title_canon_sha256": "f808cc9243f241bdc94dcb1b49351687e7549932722b9fee7f33cc1d2d40d2fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03647",
    "kind": "arxiv",
    "version": 2
  }
}