Pith Number

pith:CSTIEXCY

pith:2012:CSTIEXCYJQH3KWYVMTBOB5NROB

not attested not anchored not stored refs pending

Manifolds with higher homotopy which do not support Anosov diffeomorphisms

Andrey Gogolev, Federico Rodriguez Hertz

arxiv:1212.4514 v2 · 2012-12-18 · 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{CSTIEXCYJQH3KWYVMTBOB5NROB}

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	2026-05-18T00:44:30.129037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a6825c584c0fb55b1564c2e0f5b17051b3631f169690e205d9c3df6cc19cc7

Aliases

arxiv: 1212.4514 · arxiv_version: 1212.4514v2 · doi: 10.48550/arxiv.1212.4514 · pith_short_12: CSTIEXCYJQH3 · pith_short_16: CSTIEXCYJQH3KWYV · pith_short_8: CSTIEXCY

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/CSTIEXCYJQH3KWYVMTBOB5NROB \
  | 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: 14a6825c584c0fb55b1564c2e0f5b17051b3631f169690e205d9c3df6cc19cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "121f91c39beedb36e528415c92ba5ff2c013eb481098c285d6a08e4c112960fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-18T21:39:01Z",
    "title_canon_sha256": "a025a3f7d649b78db7a143279b787401ab69355539823271059275429c0fbbac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4514",
    "kind": "arxiv",
    "version": 2
  }
}