Pith Number

pith:F6YHFJAN

pith:2012:F6YHFJAN3MG3FI4TSFE5DH2YNW

not attested not anchored not stored refs pending

Some algebraic properties of differential operators

Alberto De Sole, Sylvain Carpentier, Victor G. Kac

arxiv:1201.1992 v1 · 2012-01-10 · 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{F6YHFJAN3MG3FI4TSFE5DH2YNW}

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	2026-05-18T01:24:13.027981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb072a40ddb0db2a3939149d19f586d81cd3f8cc73a867b3cac1fd8428e0826

Aliases

arxiv: 1201.1992 · arxiv_version: 1201.1992v1 · doi: 10.48550/arxiv.1201.1992 · pith_short_12: F6YHFJAN3MG3 · pith_short_16: F6YHFJAN3MG3FI4T · pith_short_8: F6YHFJAN

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/F6YHFJAN3MG3FI4TSFE5DH2YNW \
  | 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: 2fb072a40ddb0db2a3939149d19f586d81cd3f8cc73a867b3cac1fd8428e0826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bce432846b5e6f4bb665590f929ca3507563f93c422fc0a59eb0b14f8889f55",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-10T09:08:15Z",
    "title_canon_sha256": "af96441d16f15e321b61e1bd016b2e1eac7253fa900dd59a1818f52598738d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1992",
    "kind": "arxiv",
    "version": 1
  }
}