Pith Number

pith:QR62CNZK

pith:2008:QR62CNZKD5PEN2TYJ3IV5V53UF

not attested not anchored not stored refs pending

Trivial centralizers for codimension-one attractors

Todd Fisher

arxiv:0806.0991 v1 · 2008-06-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QR62CNZKD5PEN2TYJ3IV5V53UF}

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	2026-05-18T02:58:11.449405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847da1372a1f5e46ea784ed15ed7bba148c8ec59629c7d240ada02c408d01b2f

Aliases

arxiv: 0806.0991 · arxiv_version: 0806.0991v1 · doi: 10.48550/arxiv.0806.0991 · pith_short_12: QR62CNZKD5PE · pith_short_16: QR62CNZKD5PEN2TY · pith_short_8: QR62CNZK

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/QR62CNZKD5PEN2TYJ3IV5V53UF \
  | 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: 847da1372a1f5e46ea784ed15ed7bba148c8ec59629c7d240ada02c408d01b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50b7ffa7d9a771786014158d8833e497c4c6011cf2e73189fd3a0327e3c9262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-06-05T15:42:09Z",
    "title_canon_sha256": "09ece26cc7d1ee7597ea9ee0abfd2874a37165c95c8df387ef3f68e9ce2d5972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.0991",
    "kind": "arxiv",
    "version": 1
  }
}