Pith Number

pith:TO2WM7WX

pith:2011:TO2WM7WXPJ2LKOYXUJ7QHWE5OQ

not attested not anchored not stored refs pending

Quasi-T\"oplitz functions in KAM theorem

Michela Procesi, Xindong Xu

arxiv:1102.1066 v3 · 2011-02-05 · 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{TO2WM7WXPJ2LKOYXUJ7QHWE5OQ}

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	2026-05-18T02:17:52.641958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb5667ed77a74b53b17a27f03d89d7426353fab0ddb3c6286bec9f13e7d3866

Aliases

arxiv: 1102.1066 · arxiv_version: 1102.1066v3 · doi: 10.48550/arxiv.1102.1066 · pith_short_12: TO2WM7WXPJ2L · pith_short_16: TO2WM7WXPJ2LKOYX · pith_short_8: TO2WM7WX

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/TO2WM7WXPJ2LKOYXUJ7QHWE5OQ \
  | 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: 9bb5667ed77a74b53b17a27f03d89d7426353fab0ddb3c6286bec9f13e7d3866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ec9139ece2fcf09aa2fd7d2fda924db4ec2f10ffd6324899a810b4cc1b35263",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-05T12:10:03Z",
    "title_canon_sha256": "0df269bb87410abeb151b1cf0196b34e328d4eed8564de9f42248fcdf2293e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1066",
    "kind": "arxiv",
    "version": 3
  }
}