Pith Number

pith:2UOPBLTN

pith:2017:2UOPBLTNNT7EGLBR4MD2UKFLC6

not attested not anchored not stored refs pending

A counterexample to the Bernhard-Jablan unknotting conjecture

Mark Brittenham, Susan Hermiller

arxiv:1705.05985 v2 · 2017-05-17 · 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{2UOPBLTNNT7EGLBR4MD2UKFLC6}

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	2026-05-18T00:27:00.563048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d51cf0ae6d6cfe432c31e307aa28ab17b802929168142bcaa4270fa4ca01fe15

Aliases

arxiv: 1705.05985 · arxiv_version: 1705.05985v2 · doi: 10.48550/arxiv.1705.05985 · pith_short_12: 2UOPBLTNNT7E · pith_short_16: 2UOPBLTNNT7EGLBR · pith_short_8: 2UOPBLTN

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/2UOPBLTNNT7EGLBR4MD2UKFLC6 \
  | 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: d51cf0ae6d6cfe432c31e307aa28ab17b802929168142bcaa4270fa4ca01fe15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8595a845323c33933c62365e10404558cb789c52065ff93ae2e5e7fa06ccd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-17T02:17:26Z",
    "title_canon_sha256": "b3c19fac52ce72ed52be943c4f29179528cabf4a94eb42a7b21e99880925f021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05985",
    "kind": "arxiv",
    "version": 2
  }
}