Pith Number

pith:BRWEYUZG

pith:2011:BRWEYUZGFOIJEPQ3HZMPHF54SH

not attested not anchored not stored refs pending

The proof of $A_2$ conjecture in a geometrically doubling metric space

Alexander Reznikov, Alexander Volberg, Fedor Nazarov

arxiv:1106.1342 v2 · 2011-06-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BRWEYUZGFOIJEPQ3HZMPHF54SH}

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	2026-05-18T03:36:48.289107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c6c4c53262b90923e1b3e58f397bc91cbc40fc8fed4e2a20de44775c3890b2c

Aliases

arxiv: 1106.1342 · arxiv_version: 1106.1342v2 · doi: 10.48550/arxiv.1106.1342 · pith_short_12: BRWEYUZGFOIJ · pith_short_16: BRWEYUZGFOIJEPQ3 · pith_short_8: BRWEYUZG

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/BRWEYUZGFOIJEPQ3HZMPHF54SH \
  | 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: 0c6c4c53262b90923e1b3e58f397bc91cbc40fc8fed4e2a20de44775c3890b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d57e5c692b5cef4cf08e2208f77d5f6c6bed3eb68008c1fb9b805e05e906c7c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-06-07T13:23:44Z",
    "title_canon_sha256": "7b614b2169b334d8337c89a872a1029a9a55fd296cdf2e16d4c8dc4b163a9cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1342",
    "kind": "arxiv",
    "version": 2
  }
}