Pith Number

pith:M2L7W27R

pith:2011:M2L7W27RBN4EIVLLB5GVRH6PBY

not attested not anchored not stored refs pending

Focal Rigidity of Flat Tori

Ferry Kwakkel, Marco Martens, Mauricio Peixoto

arxiv:1104.5541 v2 · 2011-04-29 · 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{M2L7W27RBN4EIVLLB5GVRH6PBY}

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	2026-05-18T04:05:38.723334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6697fb6bf10b7844556b0f4d589fcf0e21e8128769c5ed7373de76b249b1056c

Aliases

arxiv: 1104.5541 · arxiv_version: 1104.5541v2 · doi: 10.48550/arxiv.1104.5541 · pith_short_12: M2L7W27RBN4E · pith_short_16: M2L7W27RBN4EIVLL · pith_short_8: M2L7W27R

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/M2L7W27RBN4EIVLLB5GVRH6PBY \
  | 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: 6697fb6bf10b7844556b0f4d589fcf0e21e8128769c5ed7373de76b249b1056c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3183218457dd279cf3c48cdb8a6f4102c1ae318fa9f9719ac2c1822f71fc5176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-29T02:36:19Z",
    "title_canon_sha256": "f68e26596378c63fce97bef8091d6359fad9f625f7858fe8bfd0b79297204a55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5541",
    "kind": "arxiv",
    "version": 2
  }
}