Pith Number

pith:3H3KKBDI

pith:2012:3H3KKBDIFJCITD43GT2DUTLBON

not attested not anchored not stored refs pending

Inclusion of $\Lambda BV^{(p)}$ spaces in the classes $H_{\omega}^{q}$

Mahdi Hormozi

arxiv:1210.1164 v1 · 2012-10-03 · 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{3H3KKBDIFJCITD43GT2DUTLBON}

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	2026-05-18T03:25:34.965211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f6a504682a44898f9b34f43a4d6173650dcf531ddf0afa2e650d52d4633789

Aliases

arxiv: 1210.1164 · arxiv_version: 1210.1164v1 · doi: 10.48550/arxiv.1210.1164 · pith_short_12: 3H3KKBDIFJCI · pith_short_16: 3H3KKBDIFJCITD43 · pith_short_8: 3H3KKBDI

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/3H3KKBDIFJCITD43GT2DUTLBON \
  | 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: d9f6a504682a44898f9b34f43a4d6173650dcf531ddf0afa2e650d52d4633789

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b142d1b46ee8a60f47f21bd10634ca2e4589c672f4d89832ab71a772337d55cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-03T16:24:03Z",
    "title_canon_sha256": "d2c393b099103e84d00a7a55a02c3ef677ab3e36855a3c27c85dbd5604e8f4af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1164",
    "kind": "arxiv",
    "version": 1
  }
}