Pith Number

pith:K4YOLOXJ

pith:2007:K4YOLOXJZSXJN22IWFGP4UDIYR

not attested not anchored not stored refs pending

On the contact Ozsvath-Szabo invariant

Burak Ozbagci, Tolga Etg\"u

arxiv:0708.2772 v1 · 2007-08-21 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4YOLOXJZSXJN22IWFGP4UDIYR}

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	2026-05-18T03:53:52.805573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5730e5bae9ccae96eb48b14cfe5068c4446852eade7fdba7094424f55c13e02a

Aliases

arxiv: 0708.2772 · arxiv_version: 0708.2772v1 · doi: 10.48550/arxiv.0708.2772 · pith_short_12: K4YOLOXJZSXJ · pith_short_16: K4YOLOXJZSXJN22I · pith_short_8: K4YOLOXJ

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/K4YOLOXJZSXJN22IWFGP4UDIYR \
  | 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: 5730e5bae9ccae96eb48b14cfe5068c4446852eade7fdba7094424f55c13e02a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "558478e493b17d145dfa44a00a5583598ebc22bd40f8a0da3058a1b601f72697",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-08-21T08:06:38Z",
    "title_canon_sha256": "2a8b1ee80d8f340b78f1086401f8e42e472b80ed68c1599bb09acc3d76533fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2772",
    "kind": "arxiv",
    "version": 1
  }
}