Pith Number

pith:XINW5JJ6

pith:2006:XINW5JJ6MTBV4N4DL3RHNCAOLW

not attested not anchored not stored refs pending

Foliations invariant under Lie group transverse actions

Alexandre Behague, Bruno Scardua

arxiv:math/0611764 v1 · 2006-11-24 · math.GT · 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{XINW5JJ6MTBV4N4DL3RHNCAOLW}

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	2026-05-18T04:33:18.434065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1b6ea53e64c35e37835ee276880e5d9c97e4323bd7a66c008ee09c18ceea59

Aliases

arxiv: math/0611764 · arxiv_version: math/0611764v1 · doi: 10.48550/arxiv.math/0611764 · pith_short_12: XINW5JJ6MTBV · pith_short_16: XINW5JJ6MTBV4N4D · pith_short_8: XINW5JJ6

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/XINW5JJ6MTBV4N4DL3RHNCAOLW \
  | 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: ba1b6ea53e64c35e37835ee276880e5d9c97e4323bd7a66c008ee09c18ceea59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2d6e4901708d3571557598af09ddde035f9b24f32ea40666b9ba5fa181b263",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-11-24T18:21:09Z",
    "title_canon_sha256": "11fa6d8cf8904d47bc3253b92a4aa5204f6a853ea3ac79a9df1e81ac2a91bddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611764",
    "kind": "arxiv",
    "version": 1
  }
}