Pith Number

pith:27YJ5OHK

pith:2014:27YJ5OHKLDAHJMLCXBYILNP5OE

not attested not anchored not stored refs pending

An answer to Hammerlindl's question on strong unstable foliations

Pengfei Zhang, Shaobo Gan, Yan Ren

arxiv:1404.1702 v1 · 2014-04-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27YJ5OHKLDAHJMLCXBYILNP5OE}

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	2026-05-18T02:54:40.355189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f09eb8ea58c074b162b87085b5fd7103ca562dd7f8aea116a42157cb743b77

Aliases

arxiv: 1404.1702 · arxiv_version: 1404.1702v1 · doi: 10.48550/arxiv.1404.1702 · pith_short_12: 27YJ5OHKLDAH · pith_short_16: 27YJ5OHKLDAHJMLC · pith_short_8: 27YJ5OHK

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/27YJ5OHKLDAHJMLCXBYILNP5OE \
  | 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: d7f09eb8ea58c074b162b87085b5fd7103ca562dd7f8aea116a42157cb743b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e14a99e9d45478d17f90c22f55f31fe8b19531bf9aeecfa6a8c9baa36426cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-07T09:18:15Z",
    "title_canon_sha256": "bedd04a3ea40c379b655a15d44637a570c8c30b14b09761b9230378e3213628d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1702",
    "kind": "arxiv",
    "version": 1
  }
}