Pith Number

pith:LLWFN5UU

pith:2019:LLWFN5UU7OAX6RUOZU6HNXWQFS

not attested not anchored not stored refs pending

A refinement of the first Vassiliev invariant can distinguish the orientation of knots

Thomas Fiedler

arxiv:1902.06091 v2 · 2019-02-16 · 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{LLWFN5UU7OAX6RUOZU6HNXWQFS}

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	2026-05-17T23:52:58.149781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aec56f694fb817f468ecd3c76ded02cb88a32a470b1b78228f1aafc0ac03591

Aliases

arxiv: 1902.06091 · arxiv_version: 1902.06091v2 · doi: 10.48550/arxiv.1902.06091 · pith_short_12: LLWFN5UU7OAX · pith_short_16: LLWFN5UU7OAX6RUO · pith_short_8: LLWFN5UU

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/LLWFN5UU7OAX6RUOZU6HNXWQFS \
  | 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: 5aec56f694fb817f468ecd3c76ded02cb88a32a470b1b78228f1aafc0ac03591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f446ed42096cb6d4f9c1d8cffac956dd9bece85c2d30ccd596d320dc823d51a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-16T11:19:02Z",
    "title_canon_sha256": "2285f6c12f5fa29f06a2b2be5e97532888f4f00890bcaa016ef9ede21dcbb749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.06091",
    "kind": "arxiv",
    "version": 2
  }
}