Pith Number

pith:7HOSDROM

pith:2010:7HOSDROMN2CAKEVIDAVM2WC2EB

not attested not anchored not stored refs pending

On general local Tb theorems

Henri Martikainen, Tuomas Hyt\"onen

arxiv:1011.0642 v1 · 2010-11-02 · 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{7HOSDROMN2CAKEVIDAVM2WC2EB}

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	2026-05-18T03:36:37.279273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9dd21c5cc6e840512a8182acd585a2048815f924743868e38eca384ebb73449

Aliases

arxiv: 1011.0642 · arxiv_version: 1011.0642v1 · doi: 10.48550/arxiv.1011.0642 · pith_short_12: 7HOSDROMN2CA · pith_short_16: 7HOSDROMN2CAKEVI · pith_short_8: 7HOSDROM

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/7HOSDROMN2CAKEVIDAVM2WC2EB \
  | 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: f9dd21c5cc6e840512a8182acd585a2048815f924743868e38eca384ebb73449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b653158d3ddac6ff7564a253eb19000290c211f8e5f5719dfb4b78b325e773d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-02T15:29:11Z",
    "title_canon_sha256": "e4ebb42233d29e0a46fd64d86853ac6058682255198e5488a22c5b0e44413c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0642",
    "kind": "arxiv",
    "version": 1
  }
}