Pith Number

pith:B67MD7PY

pith:2014:B67MD7PYVCLAZB7RDANX6ALFCB

not attested not anchored not stored refs pending

Surjectivity of differential operators and linear topological invariants for spaces of zero solutions

Thomas Kalmes

arxiv:1408.4356 v3 · 2014-08-19 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B67MD7PYVCLAZB7RDANX6ALFCB}

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	2026-05-17T23:50:29.057381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fbec1fdf8a8960c87f1181b7f016510635081634bb66c4869aeca46082749f1

Aliases

arxiv: 1408.4356 · arxiv_version: 1408.4356v3 · doi: 10.48550/arxiv.1408.4356 · pith_short_12: B67MD7PYVCLA · pith_short_16: B67MD7PYVCLAZB7R · pith_short_8: B67MD7PY

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/B67MD7PYVCLAZB7RDANX6ALFCB \
  | 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: 0fbec1fdf8a8960c87f1181b7f016510635081634bb66c4869aeca46082749f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c78aa1ca752ff1aeaeba1c4ea7f4cd9c99739a6847f2dc0397fea39282a1266",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-08-19T14:51:16Z",
    "title_canon_sha256": "a8447ed37f3d7cee6466c6715712e4de0126ad1c6ec47747fc2201cce3ce6aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4356",
    "kind": "arxiv",
    "version": 3
  }
}