Pith Number

pith:DY35G2GN

pith:2011:DY35G2GNKCIBPBRCBVS6EXB4XL

not attested not anchored not stored refs pending

Factorization of linear and nonlinear differential operators: necessary and sufficient conditions

Mahouton Norbert Hounkonnou, Pascal Dkengne Sielenou

arxiv:1107.5014 v1 · 2011-07-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY35G2GNKCIBPBRCBVS6EXB4XL}

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	2026-05-18T04:16:54.021869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e37d368cd50901786220d65e25c3cbad23f884cc34fd7232c731359157fc421

Aliases

arxiv: 1107.5014 · arxiv_version: 1107.5014v1 · doi: 10.48550/arxiv.1107.5014 · pith_short_12: DY35G2GNKCIB · pith_short_16: DY35G2GNKCIBPBRC · pith_short_8: DY35G2GN

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/DY35G2GNKCIBPBRCBVS6EXB4XL \
  | 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: 1e37d368cd50901786220d65e25c3cbad23f884cc34fd7232c731359157fc421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "898b6a80f4e47cfdf1db6c04e08ef26c962e9185d9d0a3df35a1cb193a10d0b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-25T18:35:58Z",
    "title_canon_sha256": "e609fddd95e3ffd9863be41e264812916b38da748d2cec83866f933bfd86ea4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5014",
    "kind": "arxiv",
    "version": 1
  }
}