Pith Number

pith:MBZDBVHD

pith:2010:MBZDBVHDZKV6NSEJXPHFPQWVGS

not attested not anchored not stored refs pending

Anosov diffeomorphisms constructed from $\pi_k(Diff(S^n))$

Andrey Gogolev, F. Thomas Farrell

arxiv:1006.4683 v2 · 2010-06-24 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBZDBVHDZKV6NSEJXPHFPQWVGS}

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	2026-05-18T02:58:02.071042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607230d4e3caabe6c889bbce57c2d5348ac594ebe35b37b63d9ce0e1dca40170

Aliases

arxiv: 1006.4683 · arxiv_version: 1006.4683v2 · doi: 10.48550/arxiv.1006.4683 · pith_short_12: MBZDBVHDZKV6 · pith_short_16: MBZDBVHDZKV6NSEJ · pith_short_8: MBZDBVHD

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/MBZDBVHDZKV6NSEJXPHFPQWVGS \
  | 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: 607230d4e3caabe6c889bbce57c2d5348ac594ebe35b37b63d9ce0e1dca40170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d3121eabdf160fd9bad2ee44b04a610e36396209aa993ce09a107ed84763dc",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-24T04:04:16Z",
    "title_canon_sha256": "17cd30c2cff107214f7fda4fe1ba91165eaf260b7fd1827f79a457d0d9247790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4683",
    "kind": "arxiv",
    "version": 2
  }
}