Pith Number

pith:YM64QAHE

pith:2014:YM64QAHEQUAY5OIGSZR5Q5IELB

not attested not anchored not stored refs pending

Normal forms for CR singular codimension two Levi-flat submanifolds

Jiri Lebl, Xianghong Gong

arxiv:1403.0558 v2 · 2014-03-03 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YM64QAHEQUAY5OIGSZR5Q5IELB}

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	2026-05-18T02:18:22.142568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33dc800e485018eb9069663d87504584a93e61cc050273a3821520f720f25b1

Aliases

arxiv: 1403.0558 · arxiv_version: 1403.0558v2 · doi: 10.48550/arxiv.1403.0558 · pith_short_12: YM64QAHEQUAY · pith_short_16: YM64QAHEQUAY5OIG · pith_short_8: YM64QAHE

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/YM64QAHEQUAY5OIGSZR5Q5IELB \
  | 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: c33dc800e485018eb9069663d87504584a93e61cc050273a3821520f720f25b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf17f93193769547e6e9fde6734d8854f33810ebadf9f0ae0f61829fbadd49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-03-03T20:29:50Z",
    "title_canon_sha256": "c4fb481662cc12e4b53b398010d1603092e514dae5ba0fa59e3beb06eacb454e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0558",
    "kind": "arxiv",
    "version": 2
  }
}