Pith Number

pith:HNGKIJFB

pith:2010:HNGKIJFBEFG26JGDXVEE2JFEIE

not attested not anchored not stored refs pending

Algebras of generalized functions with smooth parameter dependence

Annegret Burtscher, Michael Kunzinger

arxiv:1010.5752 v1 · 2010-10-27 · 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{HNGKIJFBEFG26JGDXVEE2JFEIE}

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	2026-05-18T03:54:39.599141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b4ca424a1214daf24c3bd484d24a4412658614233647c7191fbfba672ba1061

Aliases

arxiv: 1010.5752 · arxiv_version: 1010.5752v1 · doi: 10.48550/arxiv.1010.5752 · pith_short_12: HNGKIJFBEFG2 · pith_short_16: HNGKIJFBEFG26JGD · pith_short_8: HNGKIJFB

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/HNGKIJFBEFG26JGDXVEE2JFEIE \
  | 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: 3b4ca424a1214daf24c3bd484d24a4412658614233647c7191fbfba672ba1061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96dd711a213de5161c717adbf5441c1a08c2301b0222ffa77070d8cb357c8c7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-27T17:38:51Z",
    "title_canon_sha256": "bbd4e72aa8ae18c64885ac035ad7a02e3b2445a4afbe732a12b42947dadf3fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5752",
    "kind": "arxiv",
    "version": 1
  }
}