Pith Number

pith:EKKMHV4T

pith:2022:EKKMHV4TO6WM4IEQVMNGEG2NOO

not attested not anchored not stored refs pending

Coxeter quotients of knot groups through 16 crossings

Alexandra Kjuchukova, Nathaniel Morrison, Ryan Blair

arxiv:2208.09032 v1 · 2022-08-18 · 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{EKKMHV4TO6WM4IEQVMNGEG2NOO}

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	2026-07-05T04:49:55.371713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2294c3d79377acce2090ab1a621b4d73bc8c7e833f02511af492426af109c6a4

Aliases

arxiv: 2208.09032 · arxiv_version: 2208.09032v1 · doi: 10.48550/arxiv.2208.09032 · pith_short_12: EKKMHV4TO6WM · pith_short_16: EKKMHV4TO6WM4IEQ · pith_short_8: EKKMHV4T

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/EKKMHV4TO6WM4IEQVMNGEG2NOO \
  | 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: 2294c3d79377acce2090ab1a621b4d73bc8c7e833f02511af492426af109c6a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b5d1947d1b9308bdedc585bd75ad159866cdca31420541171b3fa207297c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-08-18T19:14:55Z",
    "title_canon_sha256": "1a8474110e560a7b25377b417e4732bc81645ec8a65efd0f1c2ac1ea622c4199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09032",
    "kind": "arxiv",
    "version": 1
  }
}