Pith Number

pith:QQH2HBQW

pith:2018:QQH2HBQWIQLQTSAY373RR4EO4J

not attested not anchored not stored refs pending

Double branched covers of knotoids

Agnese Barbensi, Dorothy Buck, Heather A. Harrington, Marc Lackenby

arxiv:1811.09121 v2 · 2018-11-22 · 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{QQH2HBQWIQLQTSAY373RR4EO4J}

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	2026-07-05T00:07:05.916206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840fa38616441709c818dff718f08ee277dded6cad64a3411cdaf624751d18c3

Aliases

arxiv: 1811.09121 · arxiv_version: 1811.09121v2 · doi: 10.48550/arxiv.1811.09121 · pith_short_12: QQH2HBQWIQLQ · pith_short_16: QQH2HBQWIQLQTSAY · pith_short_8: QQH2HBQW

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/QQH2HBQWIQLQTSAY373RR4EO4J \
  | 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: 840fa38616441709c818dff718f08ee277dded6cad64a3411cdaf624751d18c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b78c6155bf44193ac321e7aa9c79e8f552656119685f1a836d2d2595ffd12da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-11-22T11:27:00Z",
    "title_canon_sha256": "22342cefd60787009455abaf4bed4fa34bc486ac7ec9b3b8e4141c20f2e66d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09121",
    "kind": "arxiv",
    "version": 2
  }
}