Pith Number

pith:MWQWN7ON

pith:2011:MWQWN7ONYFHYN7OM7WKX4KGM3M

not attested not anchored not stored refs pending

Tangle sums and factorization of A-polynomials

Koya Shimokawa, Masaharu Ishikawa, Thomas W. Mattman

arxiv:1107.2640 v1 · 2011-07-13 · 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{MWQWN7ONYFHYN7OM7WKX4KGM3M}

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	2026-05-18T04:18:22.716592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a166fdcdc14f86fdccfd957e28ccdb0a69a5fcb5ad727747fb395c9fc87507

Aliases

arxiv: 1107.2640 · arxiv_version: 1107.2640v1 · doi: 10.48550/arxiv.1107.2640 · pith_short_12: MWQWN7ONYFHY · pith_short_16: MWQWN7ONYFHYN7OM · pith_short_8: MWQWN7ON

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/MWQWN7ONYFHYN7OM7WKX4KGM3M \
  | 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: 65a166fdcdc14f86fdccfd957e28ccdb0a69a5fcb5ad727747fb395c9fc87507

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c52a1f002e171c7eb85c34a58231e03f40ccb0222eb1dd2001b45113788e16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-07-13T19:37:34Z",
    "title_canon_sha256": "72ac632c75ad2aa2b3afb7448d74995003cd5a5a7a81ae15a40e863e2de5a79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2640",
    "kind": "arxiv",
    "version": 1
  }
}