Pith Number

pith:RWNJ76PI

pith:2010:RWNJ76PIMBKBZT5HBPCW5LB27R

not attested not anchored not stored refs pending

An observation: cut-off of the weight $w$ does not increase the $A_{p_{1}, p_{2}}$-"norm'' of $w$

Alexander Reznikov, Alexander Volberg, Vasiliy Vasyunin

arxiv:1008.3635 v1 · 2010-08-21 · 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{RWNJ76PIMBKBZT5HBPCW5LB27R}

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	2026-05-18T04:41:55.476447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9a9ff9e860541ccfa70bc56eac3afc46d0402cf03c25e9670a0cc98ee9532a

Aliases

arxiv: 1008.3635 · arxiv_version: 1008.3635v1 · doi: 10.48550/arxiv.1008.3635 · pith_short_12: RWNJ76PIMBKB · pith_short_16: RWNJ76PIMBKBZT5H · pith_short_8: RWNJ76PI

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/RWNJ76PIMBKBZT5HBPCW5LB27R \
  | 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: 8d9a9ff9e860541ccfa70bc56eac3afc46d0402cf03c25e9670a0cc98ee9532a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755d8ee0ce7adef233dc5b74729289785d0b11be2d91f4df88ce287e91cb9eb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-21T14:18:30Z",
    "title_canon_sha256": "0e003602474f1a17e80c43681ca68d1f7807820096ecef2a92b709c0d04bd1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3635",
    "kind": "arxiv",
    "version": 1
  }
}