Pith Number

pith:VFSIBLNG

pith:2013:VFSIBLNGJLPVWPYYDY6BS3N475

not attested not anchored not stored refs pending

Equivalence classes of subquotients of pseudodifferential operator modules

Charles H. Conley, Jeannette M. Larsen

arxiv:1306.5193 v1 · 2013-06-21 · 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{VFSIBLNGJLPVWPYYDY6BS3N475}

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	2026-05-18T01:24:14.977398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96480ada64adf5b3f181e3c196dbcff790d8e801bbc5e7412810368c226a453

Aliases

arxiv: 1306.5193 · arxiv_version: 1306.5193v1 · doi: 10.48550/arxiv.1306.5193 · pith_short_12: VFSIBLNGJLPV · pith_short_16: VFSIBLNGJLPVWPYY · pith_short_8: VFSIBLNG

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/VFSIBLNGJLPVWPYYDY6BS3N475 \
  | 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: a96480ada64adf5b3f181e3c196dbcff790d8e801bbc5e7412810368c226a453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0bdcdc38cc0c672f490432aba37bbe14b67052d60895bcb9faa792b42eab207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-06-21T16:34:00Z",
    "title_canon_sha256": "beeecb8cfa9364bec6c16ebec8cfdc5dedd67aad49814cc5a3df3a59b357afe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5193",
    "kind": "arxiv",
    "version": 1
  }
}