Pith Number

pith:O53JBAPL

pith:2015:O53JBAPL2ZZ3M7GCTSVMGA4G3R

not attested not anchored not stored refs pending

A new approach to non-homogeneous local $Tb$ theorems

Emil Vuorinen, Henri Martikainen, Mihalis Mourgoglou

arxiv:1511.00528 v2 · 2015-11-02 · 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{O53JBAPL2ZZ3M7GCTSVMGA4G3R}

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	2026-05-17T23:56:04.182274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77769081ebd673b67cc29caac30386dc66edde4c191c929f0f463f2e5b2696ab

Aliases

arxiv: 1511.00528 · arxiv_version: 1511.00528v2 · doi: 10.48550/arxiv.1511.00528 · pith_short_12: O53JBAPL2ZZ3 · pith_short_16: O53JBAPL2ZZ3M7GC · pith_short_8: O53JBAPL

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/O53JBAPL2ZZ3M7GCTSVMGA4G3R \
  | 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: 77769081ebd673b67cc29caac30386dc66edde4c191c929f0f463f2e5b2696ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e878d38b9acf23e34a68abdb3ff19d9dc91ec1ee2fd49f5150f2a7cefa220a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-11-02T14:46:40Z",
    "title_canon_sha256": "0524f88c7696351594f5c2de77a0fcb27a84b30cb464771c713c17b138e9f995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00528",
    "kind": "arxiv",
    "version": 2
  }
}