Pith Number

pith:4YVY22N5

pith:2019:4YVY22N5QHGIVVTE2JQT3W5525

not attested not anchored not stored refs pending

A vanishing result for higher smooth duals

Claus Sorensen

arxiv:1905.09316 v1 · 2019-05-22 · math.NT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YVY22N5QHGIVVTE2JQT3W5525}

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	2026-05-17T23:45:19.640059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62b8d69bd81cc8ad664d2613ddbbdd756286f2d63ebea7e4fee887b880c0a94

Aliases

arxiv: 1905.09316 · arxiv_version: 1905.09316v1 · doi: 10.48550/arxiv.1905.09316 · pith_short_12: 4YVY22N5QHGI · pith_short_16: 4YVY22N5QHGIVVTE · pith_short_8: 4YVY22N5

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/4YVY22N5QHGIVVTE2JQT3W5525 \
  | 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: e62b8d69bd81cc8ad664d2613ddbbdd756286f2d63ebea7e4fee887b880c0a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fa8c3eaad9523a4b5a753263131e846e3b6080bfa983974f1057fabeed41ee",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-22T18:20:25Z",
    "title_canon_sha256": "9c56517d903833cca2ff9d238416e8355b7a60864b8b368164a663e9364b3d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09316",
    "kind": "arxiv",
    "version": 1
  }
}