Pith Number

pith:SJLHNOXP

pith:2015:SJLHNOXPFNMKYP5QN5VT3OSJVW

not attested not anchored not stored refs pending

Naturality of Heegaard Floer invariants under positive rational contact surgery

B\"ulent Tosun, Thomas E. Mark

arxiv:1509.01511 v3 · 2015-09-04 · 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{SJLHNOXPFNMKYP5QN5VT3OSJVW}

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	2026-05-18T00:13:38.285881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

925676baef2b58ac3fb06f6b3dba49adbbf99ce1729f538fe53f8f9ddd6057be

Aliases

arxiv: 1509.01511 · arxiv_version: 1509.01511v3 · doi: 10.48550/arxiv.1509.01511 · pith_short_12: SJLHNOXPFNMK · pith_short_16: SJLHNOXPFNMKYP5Q · pith_short_8: SJLHNOXP

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/SJLHNOXPFNMKYP5QN5VT3OSJVW \
  | 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: 925676baef2b58ac3fb06f6b3dba49adbbf99ce1729f538fe53f8f9ddd6057be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "309faea4422bc349dc2eea58cbef07cdfc5d5e48e7ac3e9621fc32d5a0ce2c0f",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-04T15:59:19Z",
    "title_canon_sha256": "c9567d16445c52af058241dc8ad0b39bb96afb11b4d087c9cfa6f9c6b546062b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01511",
    "kind": "arxiv",
    "version": 3
  }
}