Pith Number

pith:MPYWKQ6K

pith:2001:MPYWKQ6KFVP7HF5LGHT7ER54Q6

not attested not anchored not stored refs pending

Concordance and 1-loop clovers

Jerome Levine, Stavros Garoufalidis

arxiv:math/0102102 v2 · 2001-02-13 · 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{MPYWKQ6KFVP7HF5LGHT7ER54Q6}

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	2026-05-18T02:41:33.342435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f16543ca2d5ff397ab31e7f247bc879a183d2288ba7042705436cb48241583

Aliases

arxiv: math/0102102 · arxiv_version: math/0102102v2 · doi: 10.48550/arxiv.math/0102102 · pith_short_12: MPYWKQ6KFVP7 · pith_short_16: MPYWKQ6KFVP7HF5L · pith_short_8: MPYWKQ6K

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/MPYWKQ6KFVP7HF5LGHT7ER54Q6 \
  | 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: 63f16543ca2d5ff397ab31e7f247bc879a183d2288ba7042705436cb48241583

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0199c9b9ab08b012b623b7aa527a6b25cc7b2b2883366993bc0e3f87fbdf72",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-02-13T18:58:56Z",
    "title_canon_sha256": "180bf02c50d85cf67b219b45cbfa817a20f21d9bc272c3c909c4fa889d9d1278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102102",
    "kind": "arxiv",
    "version": 2
  }
}