Pith Number

pith:SGJ5WBZK

pith:2011:SGJ5WBZKYDVQQJQ5T676VKSPCA

not attested not anchored not stored refs pending

Haefliger's codimension-one singular foliations, open books and twisted open books in dimension 3

Francois Laudenbach (LMJL), Gael Gael Meigniez (LMAM)

arxiv:1108.2765 v1 · 2011-08-13 · 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{SGJ5WBZKYDVQQJQ5T676VKSPCA}

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	2026-05-18T03:43:05.353380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9193db072ac0eb08261d9fbfeaaa4f101db8b3724c1610c89e0967413961fe4d

Aliases

arxiv: 1108.2765 · arxiv_version: 1108.2765v1 · doi: 10.48550/arxiv.1108.2765 · pith_short_12: SGJ5WBZKYDVQ · pith_short_16: SGJ5WBZKYDVQQJQ5 · pith_short_8: SGJ5WBZK

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/SGJ5WBZKYDVQQJQ5T676VKSPCA \
  | 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: 9193db072ac0eb08261d9fbfeaaa4f101db8b3724c1610c89e0967413961fe4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342568579f85547ca77613549aeafed2742a378d4b6cf724d68550392858bf52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-13T06:47:48Z",
    "title_canon_sha256": "3566688d62262aa12e4af31dcd16ad83d04159c3bb7340e1e3c04f77dd97e0ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2765",
    "kind": "arxiv",
    "version": 1
  }
}