Pith Number

pith:MQHAQHPZ

pith:2018:MQHAQHPZ4CXZSF2AZ6NF3MAW7C

not attested not anchored not stored refs pending

Biquandle Coloring Invariants of Knotoids

Neslihan G\"ug\"umc\"u, Sam Nelson

arxiv:1803.11308 v2 · 2018-03-30 · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQHAQHPZ4CXZSF2AZ6NF3MAW7C}

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	2026-05-17T23:52:34.084793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

640e081df9e0af991740cf9a5db016f8aac1f98eefdd7f28f2b0d9dfc09c8e3c

Aliases

arxiv: 1803.11308 · arxiv_version: 1803.11308v2 · doi: 10.48550/arxiv.1803.11308 · pith_short_12: MQHAQHPZ4CXZ · pith_short_16: MQHAQHPZ4CXZSF2A · pith_short_8: MQHAQHPZ

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/MQHAQHPZ4CXZSF2AZ6NF3MAW7C \
  | 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: 640e081df9e0af991740cf9a5db016f8aac1f98eefdd7f28f2b0d9dfc09c8e3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb71552114d456b66b692812405e6a9ec44028b9985debf92fa3aa29f408243",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-03-30T01:39:43Z",
    "title_canon_sha256": "5bdae31c60f91828b7d3b3397a8a554fefeaf7cbb581dcde676407da4d7efc91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11308",
    "kind": "arxiv",
    "version": 2
  }
}