Pith Number

pith:BYR6VR53

pith:2019:BYR6VR53G4VM4PEMECB4YGQSDZ

not attested not anchored not stored refs pending

Positive flow-spines and contact 3-manifolds

Hironobu Naoe, Ippei Ishii, Masaharu Ishikawa, Yuya Koda

arxiv:1912.05774 v4 · 2019-12-12 · 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{BYR6VR53G4VM4PEMECB4YGQSDZ}

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	2026-07-05T05:56:51.967258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e23eac7bb372ace3c8c2083cc1a121e764ca2efc76cec5437f2e1cc55becece

Aliases

arxiv: 1912.05774 · arxiv_version: 1912.05774v4 · doi: 10.48550/arxiv.1912.05774 · pith_short_12: BYR6VR53G4VM · pith_short_16: BYR6VR53G4VM4PEM · pith_short_8: BYR6VR53

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/BYR6VR53G4VM4PEMECB4YGQSDZ \
  | 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: 0e23eac7bb372ace3c8c2083cc1a121e764ca2efc76cec5437f2e1cc55becece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26710becf3b7199d932276c15573e3d7e907850b96b1e0a3a274abd2bb1c8494",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-12-12T05:07:27Z",
    "title_canon_sha256": "83917aa011572bbb660f8e51199c354031e62b8c9ae821acd6bd91bf21f9cfc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.05774",
    "kind": "arxiv",
    "version": 4
  }
}