Pith Number

pith:IAFSHFOB

pith:2009:IAFSHFOB6N3R42ZZCIUHCDJBD4

not attested not anchored not stored refs pending

Hausdorff leaf spaces for codim-1 foliations

Szymon M. Walczak

arxiv:0901.0793 v2 · 2009-01-07 · 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{IAFSHFOB6N3R42ZZCIUHCDJBD4}

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	2026-07-04T15:37:40.477135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

400b2395c1f3771e6b391228710d211f2638433b4f2605ca5256e6889d74d787

Aliases

arxiv: 0901.0793 · arxiv_version: 0901.0793v2 · doi: 10.48550/arxiv.0901.0793 · pith_short_12: IAFSHFOB6N3R · pith_short_16: IAFSHFOB6N3R42ZZ · pith_short_8: IAFSHFOB

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/IAFSHFOB6N3R42ZZCIUHCDJBD4 \
  | 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: 400b2395c1f3771e6b391228710d211f2638433b4f2605ca5256e6889d74d787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e9918943355d9bed745103d62505956dd40b1dc24a336f56135245376b9b275",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-01-07T10:04:49Z",
    "title_canon_sha256": "cfa8881f8399cc7edfb14fb1d657c223495dfeac4c6018aefc99efe897f464b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0793",
    "kind": "arxiv",
    "version": 2
  }
}