Pith Number

pith:BTAF3CKD

pith:2012:BTAF3CKDBPGVONYCVTL2JL2W3J

not attested not anchored not stored refs pending

On the subinvariance of uniform domains in Banach spaces

Manzi Huang, Matti Vuorinen, Xiantao Wang

arxiv:1209.4541 v2 · 2012-09-20 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTAF3CKDBPGVONYCVTL2JL2W3J}

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	2026-05-18T03:20:35.487474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc05d89430bcd573702acd7a4af56da79fd0427043929e5e53e87debe2e7a11

Aliases

arxiv: 1209.4541 · arxiv_version: 1209.4541v2 · doi: 10.48550/arxiv.1209.4541 · pith_short_12: BTAF3CKDBPGV · pith_short_16: BTAF3CKDBPGVONYC · pith_short_8: BTAF3CKD

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/BTAF3CKDBPGVONYCVTL2JL2W3J \
  | 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: 0cc05d89430bcd573702acd7a4af56da79fd0427043929e5e53e87debe2e7a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b70cc3c8d60b370faa41f0626b70421d6b679d01fb62f9c2e85fe3010e03e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-20T14:16:48Z",
    "title_canon_sha256": "9c387d4156b369aef56b9151b17d623e106ec5a70efa8321bd5fac992f1130e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4541",
    "kind": "arxiv",
    "version": 2
  }
}