Pith Number

pith:3VT3KL5K

pith:2017:3VT3KL5KXPMLC3MTEWZOUHCBGE

not attested not anchored not stored refs pending

Unknotting numbers for prime $\theta$-curves up to seven crossings

Danielle O'Donnol (with Appendix by Kenneth L. Baker), Dorothy Buck

arxiv:1710.05237 v2 · 2017-10-14 · 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{3VT3KL5KXPMLC3MTEWZOUHCBGE}

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	2026-05-18T00:17:01.669906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd67b52faabbd8b16d9325b2ea1c4131354301fdc4422ac9702708f3fb9473c4

Aliases

arxiv: 1710.05237 · arxiv_version: 1710.05237v2 · doi: 10.48550/arxiv.1710.05237 · pith_short_12: 3VT3KL5KXPML · pith_short_16: 3VT3KL5KXPMLC3MT · pith_short_8: 3VT3KL5K

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/3VT3KL5KXPMLC3MTEWZOUHCBGE \
  | 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: dd67b52faabbd8b16d9325b2ea1c4131354301fdc4422ac9702708f3fb9473c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a79b3b8b24e17ac912c867b84623a407e443e66652dbe7a0584b680f506902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-14T20:54:17Z",
    "title_canon_sha256": "25ba5c72bdbce7f627f2008b5550ffe4e808b4e2b9e7bb64ce9c82e05eed8205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05237",
    "kind": "arxiv",
    "version": 2
  }
}