Pith Number

pith:Z4KJLVBV

pith:2013:Z4KJLVBVC67AN5VYELMYAZFBDS

not attested not anchored not stored refs pending

On left-orderability and cyclic branched coverings

Anh T. Tran

arxiv:1311.4262 v2 · 2013-11-18 · 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{Z4KJLVBVC67AN5VYELMYAZFBDS}

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	2026-05-18T03:06:42.509582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1495d43517be06f6b822d98064a11c8ec663f30589936c108e9b9e367a334a

Aliases

arxiv: 1311.4262 · arxiv_version: 1311.4262v2 · doi: 10.48550/arxiv.1311.4262 · pith_short_12: Z4KJLVBVC67A · pith_short_16: Z4KJLVBVC67AN5VY · pith_short_8: Z4KJLVBV

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/Z4KJLVBVC67AN5VYELMYAZFBDS \
  | 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: cf1495d43517be06f6b822d98064a11c8ec663f30589936c108e9b9e367a334a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865a7b1b3506c7b5f1a591ab7f08b9763c58c1ce5e58a35966f74ade67198949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-18T04:33:49Z",
    "title_canon_sha256": "e23cffcaa1f76215f191585780f32a94e1605364e9149b4fda3b79862fd5cc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4262",
    "kind": "arxiv",
    "version": 2
  }
}