Pith Number

pith:PMX5SEI7

pith:2015:PMX5SEI7IFXI3C35DBFHOLXKVP

not attested not anchored not stored refs pending

On the 3-dimensional invariant for cyclic contact branched coverings

Tetsuya Ito

arxiv:1512.05443 v1 · 2015-12-17 · 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{PMX5SEI7IFXI3C35DBFHOLXKVP}

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	2026-05-18T00:46:53.733026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2fd9111f416e8d8b7d184a772eeaabee719560b9f7ced7566bd0f570bd6b44

Aliases

arxiv: 1512.05443 · arxiv_version: 1512.05443v1 · doi: 10.48550/arxiv.1512.05443 · pith_short_12: PMX5SEI7IFXI · pith_short_16: PMX5SEI7IFXI3C35 · pith_short_8: PMX5SEI7

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/PMX5SEI7IFXI3C35DBFHOLXKVP \
  | 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: 7b2fd9111f416e8d8b7d184a772eeaabee719560b9f7ced7566bd0f570bd6b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dad2a494bbf4b5805431fe0fc4b215c36726c0e333021803f5062c89c1848e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-17T02:35:43Z",
    "title_canon_sha256": "0ffeca019b6d8c2ecb3d166b96e4d48f3cb084e860b19bd5d6f08ad0acd5a9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05443",
    "kind": "arxiv",
    "version": 1
  }
}