Pith Number

pith:K5ICNYZA

pith:2017:K5ICNYZAE4YLCW5K6URCL32NXB

not attested not anchored not stored refs pending

On sums of torus knots concordant to alternating knots

Antonio Alfieri, Paolo Aceto

arxiv:1712.05252 v2 · 2017-12-14 · 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{K5ICNYZAE4YLCW5K6URCL32NXB}

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	2026-05-17T23:56:15.391223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575026e3202730b15baaf52225ef4db87ebb00e800b58472a18fdc3ce4301942

Aliases

arxiv: 1712.05252 · arxiv_version: 1712.05252v2 · doi: 10.48550/arxiv.1712.05252 · pith_short_12: K5ICNYZAE4YL · pith_short_16: K5ICNYZAE4YLCW5K · pith_short_8: K5ICNYZA

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/K5ICNYZAE4YLCW5K6URCL32NXB \
  | 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: 575026e3202730b15baaf52225ef4db87ebb00e800b58472a18fdc3ce4301942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62149a51c86651ce9b7f0381c130defc374516226798a16508e51fc6bc65c16f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-14T14:40:18Z",
    "title_canon_sha256": "59419c342456fab9c89ded88ba561d209783cf25a7564aa9809d54be5812b534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05252",
    "kind": "arxiv",
    "version": 2
  }
}