Pith Number

pith:2KFXXLF6

pith:2007:2KFXXLF6XBN342MD2CRLIAOYXR

not attested not anchored not stored refs pending

On circle rotations and the shrinking target properties

Jimmy Tseng

arxiv:math/0702853 v2 · 2007-02-27 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KFXXLF6XBN342MD2CRLIAOYXR}

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	2026-07-04T15:04:46.430289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d28b7bacbeb85bbe6983d0a2b401d8bc7b942ef580c6060c2cc3e114049c681c

Aliases

arxiv: math/0702853 · arxiv_version: math/0702853v2 · doi: 10.48550/arxiv.math/0702853 · pith_short_12: 2KFXXLF6XBN3 · pith_short_16: 2KFXXLF6XBN342MD · pith_short_8: 2KFXXLF6

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/2KFXXLF6XBN342MD2CRLIAOYXR \
  | 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: d28b7bacbeb85bbe6983d0a2b401d8bc7b942ef580c6060c2cc3e114049c681c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4578c787b1acad4ad1c6c4459fb5539e9ac5dc11593a7fca4a17fc89996113",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-02-27T21:26:50Z",
    "title_canon_sha256": "ea1fc5203b4b6596062dc317dea42cdea1e542a7edb87816e642c3e596b2a8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702853",
    "kind": "arxiv",
    "version": 2
  }
}