Pith Number

pith:E55LM3GA

pith:2013:E55LM3GAXJTYJGMK7DBMST2QBL

not attested not anchored not stored refs pending

Singular degree of a rational matrix pseudodifferential operator

Alberto De Sole, Sylvain Carpentier, Victor G. Kac

arxiv:1308.2647 v1 · 2013-08-12 · math.RA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E55LM3GAXJTYJGMK7DBMST2QBL}

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	2026-05-18T01:24:11.392873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277ab66cc0ba6784998af8c2c94f500adef37b3750a7ee590ad9270be5f477ce

Aliases

arxiv: 1308.2647 · arxiv_version: 1308.2647v1 · doi: 10.48550/arxiv.1308.2647 · pith_short_12: E55LM3GAXJTY · pith_short_16: E55LM3GAXJTYJGMK · pith_short_8: E55LM3GA

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/E55LM3GAXJTYJGMK7DBMST2QBL \
  | 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: 277ab66cc0ba6784998af8c2c94f500adef37b3750a7ee590ad9270be5f477ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a1c846ce98f145eb5d7e672250c1ad672ab68498caf55b2a5fd6cb597fe41f2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-08-12T18:55:14Z",
    "title_canon_sha256": "c0e4feb38f9a31fa446ab0c59b9967d1f249c5bbf1841e26270a6b70fe95b08a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2647",
    "kind": "arxiv",
    "version": 1
  }
}