Pith Number

pith:MVD4LH5A

pith:2001:MVD4LH5AE745CBBV5X6XDO7F7L

not attested not anchored not stored refs pending

Holomorphic triangles and invariants for smooth four-manifolds

Peter S Ozsvath, Zoltan Szabo

arxiv:math/0110169 v2 · 2001-10-16 · math.SG · 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{MVD4LH5AE745CBBV5X6XDO7F7L}

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.

Cited by

1 paper in Pith

Bordered Heegaard Floer modules for satellite operations using planar graphs

Receipt and verification

First computed	2026-07-04T14:35:34.237865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6547c59fa027f9d10435edfd71bbe5fae2127b7f8eaaa9af1c08ae694a527f6d

Aliases

arxiv: math/0110169 · arxiv_version: math/0110169v2 · doi: 10.48550/arxiv.math/0110169 · pith_short_12: MVD4LH5AE745 · pith_short_16: MVD4LH5AE745CBBV · pith_short_8: MVD4LH5A

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/MVD4LH5AE745CBBV5X6XDO7F7L \
  | 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: 6547c59fa027f9d10435edfd71bbe5fae2127b7f8eaaa9af1c08ae694a527f6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc4367980907be6cd93b8a4bf2b7a6cd8a9dab7f56da05d2fb88843c5fd1d5f",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2001-10-16T20:20:33Z",
    "title_canon_sha256": "2bb0c8a055f10b54e447bd49e09bbfd0ab767d7cf45beca48ad24aa4edbf05d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110169",
    "kind": "arxiv",
    "version": 2
  }
}