Pith Number

pith:X7G3LQQD

pith:2019:X7G3LQQDNVXJCMDBLEKWSPIKLX

not attested not anchored not stored refs pending

Parity in Knotoids

Louis Kauffman, Neslihan G\"ug\"umc\"u

arxiv:1905.04089 v1 · 2019-05-10 · 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{X7G3LQQDNVXJCMDBLEKWSPIKLX}

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	2026-05-17T23:46:34.612521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfcdb5c2036d6e9130615915693d0a5dcd3842b234441340e2225f17ccb7eabd

Aliases

arxiv: 1905.04089 · arxiv_version: 1905.04089v1 · doi: 10.48550/arxiv.1905.04089 · pith_short_12: X7G3LQQDNVXJ · pith_short_16: X7G3LQQDNVXJCMDB · pith_short_8: X7G3LQQD

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/X7G3LQQDNVXJCMDBLEKWSPIKLX \
  | 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: bfcdb5c2036d6e9130615915693d0a5dcd3842b234441340e2225f17ccb7eabd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e86a82b4667a8bc57e64843939986f817a16afebc48bc38f0b0e4b0d6f8f66e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-05-10T11:51:54Z",
    "title_canon_sha256": "2f1328c76fb861fef6ab812b599144d8368bbc9ed89900f9c43d98f784e753f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04089",
    "kind": "arxiv",
    "version": 1
  }
}