Pith Number

pith:22B7OXHP

pith:2013:22B7OXHPZ6RDEE6LCZKHSA4P2E

not attested not anchored not stored refs pending

Rank inequalities for the Heegaard Floer homology of Seifert homology spheres

Cagri Karakurt, Tye Lidman

arxiv:1310.0760 v1 · 2013-10-02 · 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{22B7OXHPZ6RDEE6LCZKHSA4P2E}

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	2026-05-18T03:11:34.103400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d683f75cefcfa23213cb165479038fd133a38b838378c7ecb4d8466edb0042e5

Aliases

arxiv: 1310.0760 · arxiv_version: 1310.0760v1 · doi: 10.48550/arxiv.1310.0760 · pith_short_12: 22B7OXHPZ6RD · pith_short_16: 22B7OXHPZ6RDEE6L · pith_short_8: 22B7OXHP

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/22B7OXHPZ6RDEE6LCZKHSA4P2E \
  | 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: d683f75cefcfa23213cb165479038fd133a38b838378c7ecb4d8466edb0042e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493e973de9a1d94e85b15dc8fe5719279c005d2e630c878ebfdf97ce56298685",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-02T16:46:18Z",
    "title_canon_sha256": "2da9f50845b3a9f6942e1cd5d89073d89247c87e781c671d4d3ea4d8c5ec1bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0760",
    "kind": "arxiv",
    "version": 1
  }
}