Pith Number

pith:5ZIMZZBK

pith:2009:5ZIMZZBKJKKL47XFMYLIYQAJFA

not attested not anchored not stored refs pending

Sparse effective membership problems via residue currents

Elizabeth Wulcan

arxiv:0903.3618 v2 · 2009-03-20 · math.CV · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZIMZZBKJKKL47XFMYLIYQAJFA}

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	2026-05-18T04:42:02.750860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee50cce42a4a94be7ee566168c40092809c21ab62305202dcd161edbaffad02e

Aliases

arxiv: 0903.3618 · arxiv_version: 0903.3618v2 · doi: 10.48550/arxiv.0903.3618 · pith_short_12: 5ZIMZZBKJKKL · pith_short_16: 5ZIMZZBKJKKL47XF · pith_short_8: 5ZIMZZBK

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/5ZIMZZBKJKKL47XFMYLIYQAJFA \
  | 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: ee50cce42a4a94be7ee566168c40092809c21ab62305202dcd161edbaffad02e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ffe13427d8eb6a02188c16b00678e3bc841f9137ceacabc850d889071b8b327",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-03-20T22:49:01Z",
    "title_canon_sha256": "34d25ef43ccee29d5f526b235fdf302ea851ddc8bd1128dff9cbb43d593bfde1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3618",
    "kind": "arxiv",
    "version": 2
  }
}