Pith Number

pith:GMOFFKAM

pith:2012:GMOFFKAMQHDI7SX2OZNT3RB3WI

not attested not anchored not stored refs pending

Local sampling and approximation of operators with bandlimited Kohn-Nirenberg symbols

Felix Krahmer, G\"otz Pfander

arxiv:1211.6048 v2 · 2012-11-26 · math.FA · cs.IT · math.CA · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMOFFKAMQHDI7SX2OZNT3RB3WI}

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	2026-05-18T03:09:50.744900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331c52a80c81c68fcafa765b3dc43bb201c4e7fcc83ffc7787b71c6c8e050c8a

Aliases

arxiv: 1211.6048 · arxiv_version: 1211.6048v2 · doi: 10.48550/arxiv.1211.6048 · pith_short_12: GMOFFKAMQHDI · pith_short_16: GMOFFKAMQHDI7SX2 · pith_short_8: GMOFFKAM

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/GMOFFKAMQHDI7SX2OZNT3RB3WI \
  | 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: 331c52a80c81c68fcafa765b3dc43bb201c4e7fcc83ffc7787b71c6c8e050c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "770fd66e421b324a2f8ce4497a7219ae350c9b88a4d313984047932010a7480e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.CA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-11-26T18:18:22Z",
    "title_canon_sha256": "c0cc238837a7b4d5e0649b41a812223051cb910efe5c5f8da01bdcd4d43c47c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6048",
    "kind": "arxiv",
    "version": 2
  }
}