Pith Number

pith:R2M65G6O

pith:2010:R2M65G6OUUJRJ4MVPRBX327UTQ

not attested not anchored not stored refs pending

Finite-dimensionality in Tanaka theory

Boris Kruglikov

arxiv:1002.0803 v2 · 2010-02-03 · math.DG · 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{R2M65G6OUUJRJ4MVPRBX327UTQ}

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	2026-05-18T02:09:20.119671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e99ee9bcea51314f1957c437debf49c13ae91d650ffb6aa004d749738c8387c

Aliases

arxiv: 1002.0803 · arxiv_version: 1002.0803v2 · doi: 10.48550/arxiv.1002.0803 · pith_short_12: R2M65G6OUUJR · pith_short_16: R2M65G6OUUJRJ4MV · pith_short_8: R2M65G6O

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/R2M65G6OUUJRJ4MVPRBX327UTQ \
  | 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: 8e99ee9bcea51314f1957c437debf49c13ae91d650ffb6aa004d749738c8387c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab32be0d4b9c0c994cbd42fdd5bce4926e9dbc2eacd67c0c4dc25df8ef8017c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-03T17:43:17Z",
    "title_canon_sha256": "6f0b38ea27213c284ae2a448bb2f92457d70ea7495859a24b2a0fa594812902e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0803",
    "kind": "arxiv",
    "version": 2
  }
}