Pith Number

pith:V5ISKVP4

pith:2011:V5ISKVP4I6NJQGLQVOYEFDH3OB

not attested not anchored not stored refs pending

Foliated groupoids and their infinitesimal data

Cristian Ortiz, Madeleine Jotz

arxiv:1109.4515 v5 · 2011-09-21 · math.DG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5ISKVP4I6NJQGLQVOYEFDH3OB}

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	2026-05-18T03:49:19.943150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af512555fc479a981970abb0428cfb705ce23f3a6e6ae436ab6bcd24d79840a7

Aliases

arxiv: 1109.4515 · arxiv_version: 1109.4515v5 · doi: 10.48550/arxiv.1109.4515 · pith_short_12: V5ISKVP4I6NJ · pith_short_16: V5ISKVP4I6NJQGLQ · pith_short_8: V5ISKVP4

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/V5ISKVP4I6NJQGLQVOYEFDH3OB \
  | 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: af512555fc479a981970abb0428cfb705ce23f3a6e6ae436ab6bcd24d79840a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720813dc2b3df99438ae1faa04bbdb88c713bcca33dc24a023cafd043e152319",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-21T13:01:55Z",
    "title_canon_sha256": "f8813c09eeddf632f5cc7d5af44ae82170dfdb043f5eabcff38f53cb57e30aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4515",
    "kind": "arxiv",
    "version": 5
  }
}