Pith Number

pith:NOLH2OG2

pith:2013:NOLH2OG2JX33XNRXTULZP3UW6J

not attested not anchored not stored refs pending

Pointwise partial hyperbolicity in 3-dimensional nilmanifolds

Andy Hammerlindl, Rafael Potrie

arxiv:1302.0543 v1 · 2013-02-03 · 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{NOLH2OG2JX33XNRXTULZP3UW6J}

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	2026-05-18T00:44:30.039211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b967d38da4df7bbb6379d1797ee96f25952a5da19afe743c565df94e2449b98

Aliases

arxiv: 1302.0543 · arxiv_version: 1302.0543v1 · doi: 10.48550/arxiv.1302.0543 · pith_short_12: NOLH2OG2JX33 · pith_short_16: NOLH2OG2JX33XNRX · pith_short_8: NOLH2OG2

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/NOLH2OG2JX33XNRXTULZP3UW6J \
  | 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: 6b967d38da4df7bbb6379d1797ee96f25952a5da19afe743c565df94e2449b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fd210504d61b1687dd616242d2aedc76fc7f27fa07e9121257c122076f43ed",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-03T22:46:45Z",
    "title_canon_sha256": "bb1fe7217315e56af8fb57b4c428b0792fb0fe342aebada65ca7478f597c2429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0543",
    "kind": "arxiv",
    "version": 1
  }
}