Pith Number

pith:KGBHWIX4

pith:2016:KGBHWIX4NDEE6SKHI26SSGQMKK

not attested not anchored not stored refs pending

Constructing a polynomial whose nodal set is any prescribed knot or link

Benjamin Bode, Mark R. Dennis

arxiv:1612.06328 v2 · 2016-12-19 · math.GT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGBHWIX4NDEE6SKHI26SSGQMKK}

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	2026-05-18T00:54:15.181872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51827b22fc68c84f494746bd291a0c52aa2c0cdf73d211dc09f1ff7d3390f35c

Aliases

arxiv: 1612.06328 · arxiv_version: 1612.06328v2 · doi: 10.48550/arxiv.1612.06328 · pith_short_12: KGBHWIX4NDEE · pith_short_16: KGBHWIX4NDEE6SKH · pith_short_8: KGBHWIX4

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/KGBHWIX4NDEE6SKHI26SSGQMKK \
  | 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: 51827b22fc68c84f494746bd291a0c52aa2c0cdf73d211dc09f1ff7d3390f35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18528d14c9a351606a369da33cf046372cb2ce3a33bdb025a4fb6d49aa136ec0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-19T20:03:02Z",
    "title_canon_sha256": "c6332e6e5a8d10590495e53a17aa7d54cb348a3a502738a98d8127224938a034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06328",
    "kind": "arxiv",
    "version": 2
  }
}