Pith Number

pith:RHRCHDA5

pith:2011:RHRCHDA5DCHS6W4FCWOTSNQTPE

not attested not anchored not stored refs pending

An absolute grading on Heegaard Floer homology by homotopy classes of oriented 2-plane fields

Vinicius Gripp Barros Ramos, Yang Huang

arxiv:1112.0290 v2 · 2011-12-01 · math.SG · 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{RHRCHDA5DCHS6W4FCWOTSNQTPE}

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	2026-05-18T03:20:36.452038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89e2238c1d188f2f5b85159d393613790570f1c1723cae40e57e784020de9513

Aliases

arxiv: 1112.0290 · arxiv_version: 1112.0290v2 · doi: 10.48550/arxiv.1112.0290 · pith_short_12: RHRCHDA5DCHS · pith_short_16: RHRCHDA5DCHS6W4F · pith_short_8: RHRCHDA5

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/RHRCHDA5DCHS6W4FCWOTSNQTPE \
  | 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: 89e2238c1d188f2f5b85159d393613790570f1c1723cae40e57e784020de9513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986cf31f6392bda2e35280c8df4dedfe21207b1fd593565d1820a2a5cc20ea13",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-12-01T20:20:35Z",
    "title_canon_sha256": "1f81ef9d785a68fa8c9bdafa1843c0ca5c51f62b5a94c8a6a660d29fc33aa8a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0290",
    "kind": "arxiv",
    "version": 2
  }
}