Pith Number

pith:ZZSRPHAB

pith:2009:ZZSRPHABHRTUDEYOR5EXBYSH4E

not attested not anchored not stored refs pending

Cross theorem with singularities - pluripolar vs. analytic case

Marek Jarnicki, Peter Pflug

arxiv:0907.2015 v2 · 2009-07-12 · 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{ZZSRPHABHRTUDEYOR5EXBYSH4E}

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	2026-05-18T04:07:20.054706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce65179c013c6741930e8f4970e247e1371a9cd5deb55a42647f4de2b4c1f719

Aliases

arxiv: 0907.2015 · arxiv_version: 0907.2015v2 · doi: 10.48550/arxiv.0907.2015 · pith_short_12: ZZSRPHABHRTU · pith_short_16: ZZSRPHABHRTUDEYO · pith_short_8: ZZSRPHAB

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/ZZSRPHABHRTUDEYOR5EXBYSH4E \
  | 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: ce65179c013c6741930e8f4970e247e1371a9cd5deb55a42647f4de2b4c1f719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a58066a3d5082e0e20622a821abb69906c51b6483ecac5bb943e620f18f91b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-07-12T08:44:28Z",
    "title_canon_sha256": "3866ce441f07fa3cda11c4a12bca10122e0b71f86f5b230463c2f34b287a6500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2015",
    "kind": "arxiv",
    "version": 2
  }
}