Pith Number

pith:3VQZS3WV

pith:2015:3VQZS3WVMIMUUKZTZP25YBRLPM

not attested not anchored not stored refs pending

Heegaard Floer homology of spatial graphs

Danielle O'Donnol, Shelly Harvey

arxiv:1506.04785 v1 · 2015-06-15 · 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{3VQZS3WVMIMUUKZTZP25YBRLPM}

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	2026-05-18T00:21:00.411959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd61996ed562194a2b33cbf5dc062b7b380e11dd6820342e8b4cc089b3010029

Aliases

arxiv: 1506.04785 · arxiv_version: 1506.04785v1 · doi: 10.48550/arxiv.1506.04785 · pith_short_12: 3VQZS3WVMIMU · pith_short_16: 3VQZS3WVMIMUUKZT · pith_short_8: 3VQZS3WV

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/3VQZS3WVMIMUUKZTZP25YBRLPM \
  | 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: dd61996ed562194a2b33cbf5dc062b7b380e11dd6820342e8b4cc089b3010029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfd8c03691fda648b299b174fbdddbc88f185cdd3245d291c7c665fd4c13478",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-06-15T22:00:31Z",
    "title_canon_sha256": "da92ae2a6aa7f3de0be88ac3f8cf6394ee5637cbf6d1579e506a6ac8c96ee4ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04785",
    "kind": "arxiv",
    "version": 1
  }
}