Pith Number

pith:ZKFB6I4U

pith:2010:ZKFB6I4UDK4ESDS7CXRBODA7W6

not attested not anchored not stored refs pending

On the geometry of warped foliations

Szymon M. Walczak

arxiv:1001.3398 v1 · 2010-01-19 · 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{ZKFB6I4UDK4ESDS7CXRBODA7W6}

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	2026-07-04T17:19:53.903343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8a1f23941ab8490e5f15e2170c1fb7a79d69e4ea17250f9df0d7106a767425

Aliases

arxiv: 1001.3398 · arxiv_version: 1001.3398v1 · doi: 10.48550/arxiv.1001.3398 · pith_short_12: ZKFB6I4UDK4E · pith_short_16: ZKFB6I4UDK4ESDS7 · pith_short_8: ZKFB6I4U

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/ZKFB6I4UDK4ESDS7CXRBODA7W6 \
  | 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: ca8a1f23941ab8490e5f15e2170c1fb7a79d69e4ea17250f9df0d7106a767425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d768762c54b5a57c3cebda2314aeed5c076da0b86221093caa523122994a6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-19T20:14:16Z",
    "title_canon_sha256": "83c3f27a5dc0f15e1e99ea5f054de17fa73d309da4005b75f599cc65f717fdb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3398",
    "kind": "arxiv",
    "version": 1
  }
}