Pith Number

pith:JRPJV7B6

pith:2019:JRPJV7B6XBZKUYRGHV2QLCCRIG

not attested not anchored not stored refs pending

A partial order on multibranched surfaces in 3-manifolds

Makoto Ozawa

arxiv:1905.01055 v2 · 2019-05-03 · 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{JRPJV7B6XBZKUYRGHV2QLCCRIG}

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	2026-05-17T23:46:03.066875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5e9afc3eb872aa62263d7505885141b046f250a14aa4ca652910940d3143d2

Aliases

arxiv: 1905.01055 · arxiv_version: 1905.01055v2 · doi: 10.48550/arxiv.1905.01055 · pith_short_12: JRPJV7B6XBZK · pith_short_16: JRPJV7B6XBZKUYRG · pith_short_8: JRPJV7B6

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/JRPJV7B6XBZKUYRGHV2QLCCRIG \
  | 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: 4c5e9afc3eb872aa62263d7505885141b046f250a14aa4ca652910940d3143d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64701084ada24404e7d7abbb3d34cc48125414149f1f104df250abb1aba86651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-03T07:30:51Z",
    "title_canon_sha256": "9421bd73947979a62559cb470665937ae1e8da5a1d12f6fda38eef3b120fa7d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.01055",
    "kind": "arxiv",
    "version": 2
  }
}