Pith Number

pith:4PXZSVBJ

pith:2018:4PXZSVBJ5ZG6NYMIBFYWCG3V7I

not attested not anchored not stored refs pending

Multi-Skein Invariants for Welded and Extended Welded Knots and Links

D.N. Yetter, E.I.C. Peterson, M. Kaiser, N. Backes, T. Leafblad

arxiv:1809.05874 v1 · 2018-09-16 · 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{4PXZSVBJ5ZG6NYMIBFYWCG3V7I}

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	2026-05-18T00:05:36.238702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ef995429ee4de6e1880971611b75fa1c35144e1be4a8188f7a6ce91d93f922

Aliases

arxiv: 1809.05874 · arxiv_version: 1809.05874v1 · doi: 10.48550/arxiv.1809.05874 · pith_short_12: 4PXZSVBJ5ZG6 · pith_short_16: 4PXZSVBJ5ZG6NYMI · pith_short_8: 4PXZSVBJ

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/4PXZSVBJ5ZG6NYMIBFYWCG3V7I \
  | 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: e3ef995429ee4de6e1880971611b75fa1c35144e1be4a8188f7a6ce91d93f922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98096802de6424163b9ecd5cc3097cfb493bf1caf8017c0b9603a526899fba2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-09-16T13:45:16Z",
    "title_canon_sha256": "abd47ba5edb5af302c745070787efe8b55962f54840bd5146a3480b4151b6926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05874",
    "kind": "arxiv",
    "version": 1
  }
}