Pith Number

pith:7YKQIHF5

pith:2016:7YKQIHF5C6TNN2BC5LTU5NAHB5

not attested not anchored not stored refs pending

Minimal braid representatives of quasipositive links

Kyle Hayden

arxiv:1605.01711 v1 · 2016-05-05 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YKQIHF5C6TNN2BC5LTU5NAHB5}

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	2026-05-18T00:17:46.504682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe15041cbd17a6d6e822eae74eb4070f41a6ef5d854ff8ee77d5b32b255d8239

Aliases

arxiv: 1605.01711 · arxiv_version: 1605.01711v1 · doi: 10.48550/arxiv.1605.01711 · pith_short_12: 7YKQIHF5C6TN · pith_short_16: 7YKQIHF5C6TNN2BC · pith_short_8: 7YKQIHF5

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/7YKQIHF5C6TNN2BC5LTU5NAHB5 \
  | 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: fe15041cbd17a6d6e822eae74eb4070f41a6ef5d854ff8ee77d5b32b255d8239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0f5ceea5b4e08047202c2edf3b4a11e9d930bb919763dedb9db7895cf4aaa4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-05-05T19:50:29Z",
    "title_canon_sha256": "a301d26dc563ce31b7312e8598b4d77bcaf988a76f99dff67736f86f3c505672"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01711",
    "kind": "arxiv",
    "version": 1
  }
}