Pith Number

pith:SN3XYM6V

pith:2011:SN3XYM6VNPCS7NSP35NEJS3Y4Z

not attested not anchored not stored refs pending

Minimal geodesic foliation on T^2 in case of vanishing topological entropy

Eva Glasmachers, Gerhard Knieper

arxiv:1101.1660 v2 · 2011-01-09 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SN3XYM6VNPCS7NSP35NEJS3Y4Z}

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	2026-05-18T04:14:16.468833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93777c33d56bc52fb64fdf5a44cb78e648dedcb096dacc5ea97c1f2a8c621e49

Aliases

arxiv: 1101.1660 · arxiv_version: 1101.1660v2 · doi: 10.48550/arxiv.1101.1660 · pith_short_12: SN3XYM6VNPCS · pith_short_16: SN3XYM6VNPCS7NSP · pith_short_8: SN3XYM6V

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/SN3XYM6VNPCS7NSP35NEJS3Y4Z \
  | 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: 93777c33d56bc52fb64fdf5a44cb78e648dedcb096dacc5ea97c1f2a8c621e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e04b919161066285cdc0a207f97c140a0634c6c2116daa28068345b468bce56",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-09T18:48:59Z",
    "title_canon_sha256": "c745d240e03941db71e758827f8f5731b2a1ca2218e5f9d41c30b443889c6823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1660",
    "kind": "arxiv",
    "version": 2
  }
}