Pith Number

pith:CUFAXY27

pith:2004:CUFAXY27AGIMHX7ZWM6POX4AKF

not attested not anchored not stored refs pending

The BIC of a singular foliation defined by an abelian group of isometries

M. Saralegi-Aranguren, R. Wolak

arxiv:math/0401407 v4 · 2004-01-28 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUFAXY27AGIMHX7ZWM6POX4AKF}

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	2026-05-18T01:05:26.614617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

150a0be35f0190c3dff9b33cf75f80514f9e318dcc9bfbf95dc1755e7b1c0b7b

Aliases

arxiv: math/0401407 · arxiv_version: math/0401407v4 · doi: 10.48550/arxiv.math/0401407 · pith_short_12: CUFAXY27AGIM · pith_short_16: CUFAXY27AGIMHX7Z · pith_short_8: CUFAXY27

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/CUFAXY27AGIMHX7ZWM6POX4AKF \
  | 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: 150a0be35f0190c3dff9b33cf75f80514f9e318dcc9bfbf95dc1755e7b1c0b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1a2c830cb1e1874691cfb065b1d54ab65401a717f5b0efb67e76ac477499380",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-01-28T23:57:54Z",
    "title_canon_sha256": "117e973503b8213ef7660cb063fe15a0de399e91e7b4f1b9d1c94d15e8abe746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401407",
    "kind": "arxiv",
    "version": 4
  }
}