Pith Number

pith:DDCDRWIP

pith:2015:DDCDRWIP4NEXVMVJASCQRABMO7

not attested not anchored not stored refs pending

A calculus for bordered Floer homology

Jonathan Hanselman, Liam Watson

arxiv:1508.05445 v1 · 2015-08-22 · 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{DDCDRWIP4NEXVMVJASCQRABMO7}

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

Cabling in terms of immersed curves

Receipt and verification

First computed	2026-07-05T06:20:15.664046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c438d90fe3497ab2a9048508802c77e89ce430871040b9bf692e5a9eaa55cf

Aliases

arxiv: 1508.05445 · arxiv_version: 1508.05445v1 · doi: 10.48550/arxiv.1508.05445 · pith_short_12: DDCDRWIP4NEX · pith_short_16: DDCDRWIP4NEXVMVJ · pith_short_8: DDCDRWIP

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/DDCDRWIP4NEXVMVJASCQRABMO7 \
  | 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: 18c438d90fe3497ab2a9048508802c77e89ce430871040b9bf692e5a9eaa55cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c96ee48c8348b8e9ba105a14bca0f3e52123adaea5b51d96450f484517ec16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-22T01:22:25Z",
    "title_canon_sha256": "fced06cd7a35cd3dec658036918bf668ebc929c9700f18ccc439e1073f591930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05445",
    "kind": "arxiv",
    "version": 1
  }
}