Pith Number

pith:7RSPRXG5

pith:2009:7RSPRXG5GSMXKK5DDUX7MVX46K

not attested not anchored not stored refs pending

Manifolds with small Heegaard Floer ranks

Matthew Hedden, Yi Ni

arxiv:0906.4771 v1 · 2009-06-25 · math.GT · 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{7RSPRXG5GSMXKK5DDUX7MVX46K}

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	2026-05-18T02:38:18.810453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc64f8dcdd3499752ba31d2ff656fcf2b7923cf810e925928db76cd5ca16b5bf

Aliases

arxiv: 0906.4771 · arxiv_version: 0906.4771v1 · doi: 10.48550/arxiv.0906.4771 · pith_short_12: 7RSPRXG5GSMX · pith_short_16: 7RSPRXG5GSMXKK5D · pith_short_8: 7RSPRXG5

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/7RSPRXG5GSMXKK5DDUX7MVX46K \
  | 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: fc64f8dcdd3499752ba31d2ff656fcf2b7923cf810e925928db76cd5ca16b5bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4fbfa6e5395ee7c901cce7d442ebf826478bfa916862c381948269725e66508",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-25T18:48:50Z",
    "title_canon_sha256": "58172f4731b687dc65889944448a65a58e215fb6d0c1bc6845a0a9f8b9254cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4771",
    "kind": "arxiv",
    "version": 1
  }
}