Pith Number

pith:NMUD3K4Z

pith:2006:NMUD3K4ZHJS22PWFVLF65HG4CG

not attested not anchored not stored refs pending

Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces

David Gomez-Ullate, Niky Kamran, Robert Milson

arxiv:nlin/0604070 v1 · 2006-04-26 · 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{NMUD3K4ZHJS22PWFVLF65HG4CG}

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	2026-05-18T03:20:33.416915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b283dab993a65ad3ec5aacbee9cdc11b81d7ae71f1bba5ada4df83a1f2750d3

Aliases

arxiv: nlin/0604070 · arxiv_version: nlin/0604070v1 · doi: 10.48550/arxiv.nlin/0604070 · pith_short_12: NMUD3K4ZHJS2 · pith_short_16: NMUD3K4ZHJS22PWF · pith_short_8: NMUD3K4Z

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/NMUD3K4ZHJS22PWFVLF65HG4CG \
  | 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: 6b283dab993a65ad3ec5aacbee9cdc11b81d7ae71f1bba5ada4df83a1f2750d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46482b81c93cf5264c1c771ba4d7071faa2be30f7f95340111f8620815bba596",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.SI",
    "submitted_at": "2006-04-26T15:09:11Z",
    "title_canon_sha256": "18cea0596f9961b9e1d23eb24c62cd510bdb46d097cdafd35d07f52adbe3b836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0604070",
    "kind": "arxiv",
    "version": 1
  }
}