Pith Number

pith:LT5TAUEY

pith:2010:LT5TAUEYBMDDJOE4IGG3NI5D5U

not attested not anchored not stored refs pending

On a discrete version of Tanaka's theorem for maximal functions

Emanuel Carneiro, Jonathan Bober, Kevin Hughes, Lillian B. Pierce

arxiv:1005.3030 v4 · 2010-05-17 · 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{LT5TAUEYBMDDJOE4IGG3NI5D5U}

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	2026-05-18T02:30:32.960359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfb3050980b0634b89c418db6a3a3ed027bfac3e95801e3c7f03273feb2ff6d

Aliases

arxiv: 1005.3030 · arxiv_version: 1005.3030v4 · doi: 10.48550/arxiv.1005.3030 · pith_short_12: LT5TAUEYBMDD · pith_short_16: LT5TAUEYBMDDJOE4 · pith_short_8: LT5TAUEY

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/LT5TAUEYBMDDJOE4IGG3NI5D5U \
  | 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: 5cfb3050980b0634b89c418db6a3a3ed027bfac3e95801e3c7f03273feb2ff6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50da14e3c1912d56a18fb712c2647acaf20bd01c085367490f77709a083dc70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-05-17T20:11:30Z",
    "title_canon_sha256": "4082eba87641bf0f8fdf103e21d5116fa7e2003172e1130a41af4fc25c525cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3030",
    "kind": "arxiv",
    "version": 4
  }
}