Pith Number

pith:MSPNIM46

pith:2009:MSPNIM46OSV7JST7V4IMCBXB5H

not attested not anchored not stored refs pending

Planar open books, monodromy factorizations, and symplectic fillings

Jeremy Van Horn-Morris, Olga Plamenevskaya

arxiv:0912.1916 v1 · 2009-12-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSPNIM46OSV7JST7V4IMCBXB5H}

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	2026-05-18T02:38:18.710634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649ed4339e74abf4ca7faf10c106e1e9e83722bc6caff21c8487cc2205035995

Aliases

arxiv: 0912.1916 · arxiv_version: 0912.1916v1 · doi: 10.48550/arxiv.0912.1916 · pith_short_12: MSPNIM46OSV7 · pith_short_16: MSPNIM46OSV7JST7 · pith_short_8: MSPNIM46

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/MSPNIM46OSV7JST7V4IMCBXB5H \
  | 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: 649ed4339e74abf4ca7faf10c106e1e9e83722bc6caff21c8487cc2205035995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e50d5f4eac82a7c65ab5ffc07c5fdab601f55437ddf113409f0340912e8cd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-12-10T05:04:50Z",
    "title_canon_sha256": "1a6e450a5f61563ce446f1107ccd16d0adcb53028dee163ec63ad8877b09a320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1916",
    "kind": "arxiv",
    "version": 1
  }
}