Pith Number

pith:NZUCBYAY

pith:2019:NZUCBYAY6F46TNWVS2MUWCZFAG

not attested not anchored not stored refs pending

Projective Naturality in Heegaard Floer Homology

Mike Gartner

arxiv:1908.06237 v2 · 2019-08-17 · 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{NZUCBYAY6F46TNWVS2MUWCZFAG}

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	2026-07-05T06:20:15.794122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6820e018f179e9b6d596994b0b2501a3c9ec6f3607ae3090720ffa37ea0442

Aliases

arxiv: 1908.06237 · arxiv_version: 1908.06237v2 · doi: 10.48550/arxiv.1908.06237 · pith_short_12: NZUCBYAY6F46 · pith_short_16: NZUCBYAY6F46TNWV · pith_short_8: NZUCBYAY

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/NZUCBYAY6F46TNWVS2MUWCZFAG \
  | 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: 6e6820e018f179e9b6d596994b0b2501a3c9ec6f3607ae3090720ffa37ea0442

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d3117cd337978a02bc8ee1dd9f2cca01fe9ea18c4c438674f6ea5be8ab2214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-17T04:37:10Z",
    "title_canon_sha256": "27845d0eec79feafaaed080d2cad96c1e4795adb7b93aeeac69579c4e42e2cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06237",
    "kind": "arxiv",
    "version": 2
  }
}