Pith Number

pith:WQEJ64ZI

pith:2008:WQEJ64ZIBCXIJBKKTEUWOO3SSK

not attested not anchored not stored refs pending

Poisson Geometry of Directed Networks in a Disk

Alek Vainshtein (University of Haifa), Michael Gekhtman (University of Notre Dame), Michael Shapiro (Michigan State University)

arxiv:0805.3541 v2 · 2008-05-22 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQEJ64ZIBCXIJBKKTEUWOO3SSK}

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	2026-05-18T01:14:36.570266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4089f732808ae84854a9929673b7292a5c222f183b9da74b7a5922d8c8442d5

Aliases

arxiv: 0805.3541 · arxiv_version: 0805.3541v2 · doi: 10.48550/arxiv.0805.3541 · pith_short_12: WQEJ64ZIBCXI · pith_short_16: WQEJ64ZIBCXIJBKK · pith_short_8: WQEJ64ZI

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/WQEJ64ZIBCXIJBKKTEUWOO3SSK \
  | 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: b4089f732808ae84854a9929673b7292a5c222f183b9da74b7a5922d8c8442d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7993d7ba25fe45057c051a234f949ed13c338becc2b2b01dccdc3a95f04a8bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-05-22T21:30:08Z",
    "title_canon_sha256": "961bd864bf0b6ce54aaab9484f00839d847cd0887ef9a0ba98a3b509ebe423a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3541",
    "kind": "arxiv",
    "version": 2
  }
}