Pith Number

pith:TZHK3PYU

pith:2009:TZHK3PYUHODEKDVPFNLTCO4OQD

not attested not anchored not stored refs pending

Boundary problem for Levi flat graphs

Dmitri Zaitsev, Giuseppe Tomassini, Pierre Dolbeault

arxiv:0912.1332 v1 · 2009-12-07 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZHK3PYUHODEKDVPFNLTCO4OQD}

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	2026-05-18T02:27:08.427205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4eadbf143b86450eaf2b57313b8e80d6fb6b471359d880a42d3ded0e8dcd70

Aliases

arxiv: 0912.1332 · arxiv_version: 0912.1332v1 · doi: 10.48550/arxiv.0912.1332 · pith_short_12: TZHK3PYUHODE · pith_short_16: TZHK3PYUHODEKDVP · pith_short_8: TZHK3PYU

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/TZHK3PYUHODEKDVPFNLTCO4OQD \
  | 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: 9e4eadbf143b86450eaf2b57313b8e80d6fb6b471359d880a42d3ded0e8dcd70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf44c62991164dec188b2c99b37a14581938b3fee465862adb0d89f8f39443a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-12-07T20:36:44Z",
    "title_canon_sha256": "4ea850ec548a322ae5eb73aab98c3ef58bbb492203291ccce4ce56365985ad52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1332",
    "kind": "arxiv",
    "version": 1
  }
}