Pith Number

pith:XILBLHZO

pith:2011:XILBLHZOGUNF47FBERKGMILTWC

not attested not anchored not stored refs pending

Local real analysis in locally homogeneous spaces

Maochun Zhu, Marco Bramanti

arxiv:1101.5561 v1 · 2011-01-28 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XILBLHZOGUNF47FBERKGMILTWC}

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	2026-05-18T04:30:34.748301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba16159f2e351a5e7ca12454662173b09dcf48ff21c2f028b9ec4b5bfccd1b31

Aliases

arxiv: 1101.5561 · arxiv_version: 1101.5561v1 · doi: 10.48550/arxiv.1101.5561 · pith_short_12: XILBLHZOGUNF · pith_short_16: XILBLHZOGUNF47FB · pith_short_8: XILBLHZO

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/XILBLHZOGUNF47FBERKGMILTWC \
  | 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: ba16159f2e351a5e7ca12454662173b09dcf48ff21c2f028b9ec4b5bfccd1b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf6303b260e09ab13740181b114c27335d71f9bafee6fc726e32a3e9874d131b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-28T16:06:52Z",
    "title_canon_sha256": "77a43c0a84d5dc4797e8d9ef257706727b8aa37d9eb865c3335a5b1e89bd2aea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5561",
    "kind": "arxiv",
    "version": 1
  }
}