Pith Number

pith:UGKBKV62

pith:2019:UGKBKV62BZNDUVEOVS4XDBTP24

not attested not anchored not stored refs pending

The flatness of the $\Ok$-module of smooth functions and integral representation

Mats Andersson

arxiv:1905.04927 v2 · 2019-05-13 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGKBKV62BZNDUVEOVS4XDBTP24}

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	2026-05-17T23:46:17.259934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1941557da0e5a3a548eacb971866fd73e321f545616fbc5cae654c104bc6a0e

Aliases

arxiv: 1905.04927 · arxiv_version: 1905.04927v2 · doi: 10.48550/arxiv.1905.04927 · pith_short_12: UGKBKV62BZND · pith_short_16: UGKBKV62BZNDUVEO · pith_short_8: UGKBKV62

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/UGKBKV62BZNDUVEOVS4XDBTP24 \
  | 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: a1941557da0e5a3a548eacb971866fd73e321f545616fbc5cae654c104bc6a0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77fbdc41046f4cef4dd757aabce8e936ca3395b74ffa26ffadc5e86b55544901",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-05-13T09:21:32Z",
    "title_canon_sha256": "93807c80f1121b93845e04ea8d1cc22dd01ad3ec300d87355a312f8ec5daccca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04927",
    "kind": "arxiv",
    "version": 2
  }
}