Pith Number

pith:2UN2QIZV

pith:2009:2UN2QIZVDRVP7MIQWBPOIIG4ZI

not attested not anchored not stored refs pending

Universal Prolongation of Linear Partial Differential Equations on Filtered Manifolds

Katharina Neusser

arxiv:0904.2519 v3 · 2009-04-16 · math.DG · 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{2UN2QIZVDRVP7MIQWBPOIIG4ZI}

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	2026-05-18T03:35:52.160528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51ba823351c6affb110b05ee420dcca039e19ca564f17693cf7d20957f90984

Aliases

arxiv: 0904.2519 · arxiv_version: 0904.2519v3 · doi: 10.48550/arxiv.0904.2519 · pith_short_12: 2UN2QIZVDRVP · pith_short_16: 2UN2QIZVDRVP7MIQ · pith_short_8: 2UN2QIZV

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/2UN2QIZVDRVP7MIQWBPOIIG4ZI \
  | 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: d51ba823351c6affb110b05ee420dcca039e19ca564f17693cf7d20957f90984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d0437006a4861617cd7ee598a0cdeb8dc978e70cdc4dd24f2f6c2353cb2d4a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-16T15:21:10Z",
    "title_canon_sha256": "8e30c8701b97d59a761dbd74c7e1ed45fd6174720b874051e4079a27aa2311e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2519",
    "kind": "arxiv",
    "version": 3
  }
}