Pith Number

pith:GPQNDPLB

pith:2012:GPQNDPLBMB2OCCQLOEPQ6GKTT7

not attested not anchored not stored refs pending

Explicit traces of functions on Sobolev spaces and quasi-optimal linear interpolators

Daniel Est\'evez

arxiv:1211.1498 v2 · 2012-11-07 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPQNDPLBMB2OCCQLOEPQ6GKTT7}

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	2026-05-18T03:01:46.965758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e0d1bd616074e10a0b711f0f19539fff0146e79b6e6461df19ca2c584b86e2

Aliases

arxiv: 1211.1498 · arxiv_version: 1211.1498v2 · doi: 10.48550/arxiv.1211.1498 · pith_short_12: GPQNDPLBMB2O · pith_short_16: GPQNDPLBMB2OCCQL · pith_short_8: GPQNDPLB

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/GPQNDPLBMB2OCCQLOEPQ6GKTT7 \
  | 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: 33e0d1bd616074e10a0b711f0f19539fff0146e79b6e6461df19ca2c584b86e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1437d03b4162c5e97c0a804fe05056cc9cf37c08dc31da685eba12e3aa1a5fe",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-07T10:02:24Z",
    "title_canon_sha256": "448271c9f590c282f34c07fc503ee21e75c31038e3828c3f8869a98193dde58a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1498",
    "kind": "arxiv",
    "version": 2
  }
}