Pith Number

pith:WX4FZDFH

pith:2008:WX4FZDFHJMDIFWVG7DWSXMEZ5L

not attested not anchored not stored refs pending

On a theorem of Shkredov

Tom Sanders

arxiv:0807.5100 v2 · 2008-07-31 · 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{WX4FZDFHJMDIFWVG7DWSXMEZ5L}

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	2026-05-18T04:30:37.120736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f85c8ca74b0682daa6f8ed2bb099eaed19ccaf9ac3535084d6a52487bae908

Aliases

arxiv: 0807.5100 · arxiv_version: 0807.5100v2 · doi: 10.48550/arxiv.0807.5100 · pith_short_12: WX4FZDFHJMDI · pith_short_16: WX4FZDFHJMDIFWVG · pith_short_8: WX4FZDFH

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/WX4FZDFHJMDIFWVG7DWSXMEZ5L \
  | 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: b5f85c8ca74b0682daa6f8ed2bb099eaed19ccaf9ac3535084d6a52487bae908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04e52e2de1da6a197467350c4fcde56342e0179283917f931fbd4b186fa249e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2008-07-31T16:20:22Z",
    "title_canon_sha256": "4eea0e18e32064fa6a50bbe743277f315d01bf35f010d66fc60ed52b760281e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.5100",
    "kind": "arxiv",
    "version": 2
  }
}