Pith Number

pith:3FIFV3VE

pith:2011:3FIFV3VES62UFIIXB5D6RIWFZB

not attested not anchored not stored refs pending

The augmented operator of a surjective partial differential operator with constant coefficients need not be surjective

Thomas Kalmes

arxiv:1105.4805 v1 · 2011-05-24 · 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{3FIFV3VES62UFIIXB5D6RIWFZB}

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	2026-05-18T00:13:53.902786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9505aeea497b542a1170f47e8a2c5c8626cd589147b0e2edc5a90e4d09076dc

Aliases

arxiv: 1105.4805 · arxiv_version: 1105.4805v1 · doi: 10.48550/arxiv.1105.4805 · pith_short_12: 3FIFV3VES62U · pith_short_16: 3FIFV3VES62UFIIX · pith_short_8: 3FIFV3VE

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/3FIFV3VES62UFIIXB5D6RIWFZB \
  | 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: d9505aeea497b542a1170f47e8a2c5c8626cd589147b0e2edc5a90e4d09076dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c923f80ea11c5babaaf100b9cd9ac9443721bd71219a676a6fae1fa3d89e8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-24T15:39:53Z",
    "title_canon_sha256": "4f335b39c12f64acc2da6c4d65df3ce11d35ed09e64ca433b5fd8b59ce7d5671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4805",
    "kind": "arxiv",
    "version": 1
  }
}