Pith Number

pith:AUY6VXGC

pith:2009:AUY6VXGCU4ZX4YGYGGLSGWVLNG

not attested not anchored not stored refs pending

Regularization and minimization of Haefliger structures of codimension one

Gael Meigniez

arxiv:0904.2912 v5 · 2009-04-19 · 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{AUY6VXGCU4ZX4YGYGGLSGWVLNG}

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	2026-05-18T03:56:23.049978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0531eadcc2a7337e60d83197235aab698d486a277493164fa4dfdad9e743d24f

Aliases

arxiv: 0904.2912 · arxiv_version: 0904.2912v5 · doi: 10.48550/arxiv.0904.2912 · pith_short_12: AUY6VXGCU4ZX · pith_short_16: AUY6VXGCU4ZX4YGY · pith_short_8: AUY6VXGC

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/AUY6VXGCU4ZX4YGYGGLSGWVLNG \
  | 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: 0531eadcc2a7337e60d83197235aab698d486a277493164fa4dfdad9e743d24f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4cc4ab26b942e4fd64d4dc38f2f1fec0ec2f596b346acc969c188f3b747ea15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-04-19T13:06:23Z",
    "title_canon_sha256": "405a253d962d1183d78805644a840cc5359f1ff786980272f2e8ec11a5f94de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2912",
    "kind": "arxiv",
    "version": 5
  }
}