Pith Number

pith:EWVUZ3ZD

pith:2012:EWVUZ3ZDSZRGL6PYMARTJXSMRC

not attested not anchored not stored refs pending

Commuting higher rank ordinary differential operators

Andrey E. Mironov

arxiv:1204.2092 v1 · 2012-04-10 · 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{EWVUZ3ZDSZRGL6PYMARTJXSMRC}

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	2026-05-18T03:58:13.332740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ab4cef23966265f9f8602334de4c889d06ac92eda1af54e0ae37c0802faf7a

Aliases

arxiv: 1204.2092 · arxiv_version: 1204.2092v1 · doi: 10.48550/arxiv.1204.2092 · pith_short_12: EWVUZ3ZDSZRG · pith_short_16: EWVUZ3ZDSZRGL6PY · pith_short_8: EWVUZ3ZD

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/EWVUZ3ZDSZRGL6PYMARTJXSMRC \
  | 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: 25ab4cef23966265f9f8602334de4c889d06ac92eda1af54e0ae37c0802faf7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94758405c21fe00e7a4677ec8918ba22098e8cb1ef4366fcb1199ce3d7491934",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-04-10T10:10:06Z",
    "title_canon_sha256": "7edfa6385da75b09628afaeadf6dfaea38d0b6c54bf4a40a940be0a5579fe2c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2092",
    "kind": "arxiv",
    "version": 1
  }
}