Pith Number

pith:QY7C6WQP

pith:2016:QY7C6WQPZ47KIMXYSJ7DNMZB4F

not attested not anchored not stored refs pending

An application of non-positively curved cubings of alternating links

Makoto Sakuma, Yoshiyuki Yokota

arxiv:1612.06973 v1 · 2016-12-21 · 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{QY7C6WQPZ47KIMXYSJ7DNMZB4F}

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	2026-05-18T00:54:14.958812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863e2f5a0fcf3ea432f8927e36b321e146ecc77fa484c5763e8aa27b3556ab84

Aliases

arxiv: 1612.06973 · arxiv_version: 1612.06973v1 · doi: 10.48550/arxiv.1612.06973 · pith_short_12: QY7C6WQPZ47K · pith_short_16: QY7C6WQPZ47KIMXY · pith_short_8: QY7C6WQP

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/QY7C6WQPZ47KIMXYSJ7DNMZB4F \
  | 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: 863e2f5a0fcf3ea432f8927e36b321e146ecc77fa484c5763e8aa27b3556ab84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85a315f4590fc7467798871cf2c7f710484f55f982e63de3cce8241c6dba6f09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-21T04:46:32Z",
    "title_canon_sha256": "a7621806399d65bd2d2396dc4d6336a10ffe583668afcc994c75e96f44b30695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06973",
    "kind": "arxiv",
    "version": 1
  }
}