Pith Number

pith:E5KZFPXG

pith:2019:E5KZFPXGZZ5NE5QDBLKHYX56CR

not attested not anchored not stored refs pending

Polynomial Invariants, Knot Homologies, and Higher Twist Numbers of Weaving Knots $W(3,n)$

Rama Mishra, Ross Staffeldt

arxiv:1902.01819 v2 · 2019-02-05 · 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{E5KZFPXGZZ5NE5QDBLKHYX56CR}

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	2026-05-17T23:46:45.756667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275592bee6ce7ad276030ad47c5fbe1478e2607a3bfe2435c1aa320ea21a9791

Aliases

arxiv: 1902.01819 · arxiv_version: 1902.01819v2 · doi: 10.48550/arxiv.1902.01819 · pith_short_12: E5KZFPXGZZ5N · pith_short_16: E5KZFPXGZZ5NE5QD · pith_short_8: E5KZFPXG

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/E5KZFPXGZZ5NE5QDBLKHYX56CR \
  | 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: 275592bee6ce7ad276030ad47c5fbe1478e2607a3bfe2435c1aa320ea21a9791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f284cf780e9dfcfa7502275d76fe3b6102832f78db161f634ba05d0adf35e7e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-02-05T17:49:09Z",
    "title_canon_sha256": "0c929be1aa0181c860d229639fc44baa0ee2e2ed143c58eb6ef162d9c87d8b6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.01819",
    "kind": "arxiv",
    "version": 2
  }
}