Pith Number

pith:LGXUFU3E

pith:2016:LGXUFU3EA24PEWAIT46KW7CCB3

not attested not anchored not stored refs pending

Meridional Rank of Knots Whose Exterior is a Graph Manifold

Ederson Dutra, Michel Boileau, Richard Weidmann, Yeonhee Jang

arxiv:1608.01570 v1 · 2016-08-04 · 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{LGXUFU3EA24PEWAIT46KW7CCB3}

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	2026-05-18T01:09:52.083733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59af42d36406b8f258089f3cab7c420edd91dc79130626c635a769ff45d2a1aa

Aliases

arxiv: 1608.01570 · arxiv_version: 1608.01570v1 · doi: 10.48550/arxiv.1608.01570 · pith_short_12: LGXUFU3EA24P · pith_short_16: LGXUFU3EA24PEWAI · pith_short_8: LGXUFU3E

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/LGXUFU3EA24PEWAIT46KW7CCB3 \
  | 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: 59af42d36406b8f258089f3cab7c420edd91dc79130626c635a769ff45d2a1aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aecc82094afe55b9b3ffad365cc7b2ecd7eb4a711f67d1475733d9472ca8d6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-04T15:04:31Z",
    "title_canon_sha256": "eae7fad7e1ad4173730a7a3d65c117a972fdbca59c3a277ce551b9075d728abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01570",
    "kind": "arxiv",
    "version": 1
  }
}