Pith Number

pith:BO5NJIQN

pith:2009:BO5NJIQNUYFNCUSTJXFDLJWQZ6

not attested not anchored not stored refs pending

Grid diagrams and Heegaard Floer invariants

Ciprian Manolescu, Dylan Thurston, Peter Ozsvath

arxiv:0910.0078 v4 · 2009-10-01 · 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{BO5NJIQNUYFNCUSTJXFDLJWQZ6}

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

Deeply Slice Knot Detection via Immersed Curves

Receipt and verification

First computed	2026-07-05T01:15:20.205879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbad4a20da60ad152534dca35a6d0cfb83aa56bbb47ff06f32c7802ee333d64

Aliases

arxiv: 0910.0078 · arxiv_version: 0910.0078v4 · doi: 10.48550/arxiv.0910.0078 · pith_short_12: BO5NJIQNUYFN · pith_short_16: BO5NJIQNUYFNCUST · pith_short_8: BO5NJIQN

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/BO5NJIQNUYFNCUSTJXFDLJWQZ6 \
  | 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: 0bbad4a20da60ad152534dca35a6d0cfb83aa56bbb47ff06f32c7802ee333d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a16004090ec0d09194dc9160cb19c0b27e33dcaf9e2f7767627eebaa7fa9a55",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-01T05:53:07Z",
    "title_canon_sha256": "089747a2e0aa503fdced0403559a0f49c0b8dbfad00d63140f8b0b46fab82751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0078",
    "kind": "arxiv",
    "version": 4
  }
}