Pith Number

pith:TM4UHKAJ

pith:2019:TM4UHKAJ6WQ47PNAX3JOWPRDXD

not attested not anchored not stored refs pending

A linear topological invariant for spaces of quasianalytic functions of Roumieu type

Andreas Debrouwere

arxiv:1904.12836 v1 · 2019-04-29 · 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{TM4UHKAJ6WQ47PNAX3JOWPRDXD}

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	2026-05-17T23:47:32.123826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3943a809f5a1cfbda0bed2eb3e23b8d44bdac255c4e3c7282affdb584f654b

Aliases

arxiv: 1904.12836 · arxiv_version: 1904.12836v1 · doi: 10.48550/arxiv.1904.12836 · pith_short_12: TM4UHKAJ6WQ4 · pith_short_16: TM4UHKAJ6WQ47PNA · pith_short_8: TM4UHKAJ

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/TM4UHKAJ6WQ47PNAX3JOWPRDXD \
  | 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: 9b3943a809f5a1cfbda0bed2eb3e23b8d44bdac255c4e3c7282affdb584f654b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999c0000c016c0ba87e06a502a31d1555d1c34128f812da5f499ca8d6b8f53c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-04-29T17:38:05Z",
    "title_canon_sha256": "e9e430446a70c7ada0b9e91ea6fcbd9d5663229dc672c0065e228d9c2e27a0be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12836",
    "kind": "arxiv",
    "version": 1
  }
}