Pith Number

pith:VMC4KGVZ

pith:2016:VMC4KGVZLO73T7BO7DF4VIQXDR

not attested not anchored not stored refs pending

Singular Knots and Involutive Quandles

Indu R. U. Churchill, M. Elhamdadi, M. Hajij, Sam Nelson

arxiv:1608.08163 v6 · 2016-08-29 · 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{VMC4KGVZLO73T7BO7DF4VIQXDR}

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	2026-05-18T00:12:50.868985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab05c51ab95bbfb9fc2ef8cbcaa2171c7e27bbc14b3110bed4bb43f9b80066f8

Aliases

arxiv: 1608.08163 · arxiv_version: 1608.08163v6 · doi: 10.48550/arxiv.1608.08163 · pith_short_12: VMC4KGVZLO73 · pith_short_16: VMC4KGVZLO73T7BO · pith_short_8: VMC4KGVZ

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/VMC4KGVZLO73T7BO7DF4VIQXDR \
  | 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: ab05c51ab95bbfb9fc2ef8cbcaa2171c7e27bbc14b3110bed4bb43f9b80066f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250527e936f6e316695348d1cf22ac2c289308a588498f50b4a3d5a1a8f52383",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-29T18:12:57Z",
    "title_canon_sha256": "7a8b0f01010b6c17852cf69cc8d03fe7b23fc8f55efb8b526a88cb50b92a4c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08163",
    "kind": "arxiv",
    "version": 6
  }
}