Pith Number

pith:KVXNKTRM

pith:2015:KVXNKTRMKWCKTYTGXQ5Q663ZWK

not attested not anchored not stored refs pending

The number of surfaces of fixed genus in an alternating link complement

Abigail Thompson, Anastasiia Tsvietkova, Joel Hass

arxiv:1508.03680 v2 · 2015-08-14 · 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{KVXNKTRMKWCKTYTGXQ5Q663ZWK}

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	2026-05-17T23:48:53.323332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

556ed54e2c5584a9e266bc3b0f7b79b29a304d07cb051b9041f142c1b20b1fbc

Aliases

arxiv: 1508.03680 · arxiv_version: 1508.03680v2 · doi: 10.48550/arxiv.1508.03680 · pith_short_12: KVXNKTRMKWCK · pith_short_16: KVXNKTRMKWCKTYTG · pith_short_8: KVXNKTRM

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/KVXNKTRMKWCKTYTGXQ5Q663ZWK \
  | 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: 556ed54e2c5584a9e266bc3b0f7b79b29a304d07cb051b9041f142c1b20b1fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62ddc9dbf266851b23345a914f4b671beeee6c312e7790bda714ff4c3fdd661",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-08-14T23:53:00Z",
    "title_canon_sha256": "99fbc6dfb94c5412827cb617ef35730037c44b65dc6a26d24d9a3c97534adc58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03680",
    "kind": "arxiv",
    "version": 2
  }
}