Pith Number

pith:4WTNSAIU

pith:2018:4WTNSAIUO2QWTG35HH2OCWEKDG

not attested not anchored not stored refs pending

Knot Theory: from Fox 3-colorings of links to Yang-Baxter homology and Khovanov homology

Jozef H. Przytycki

arxiv:1809.00063 v1 · 2018-08-31 · 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{4WTNSAIUO2QWTG35HH2OCWEKDG}

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	2026-05-18T00:06:36.240946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5a6d9011476a1699b7d39f4e1588a19a54e2a18558329171e5cc7a1ceb3c01a

Aliases

arxiv: 1809.00063 · arxiv_version: 1809.00063v1 · doi: 10.48550/arxiv.1809.00063 · pith_short_12: 4WTNSAIUO2QW · pith_short_16: 4WTNSAIUO2QWTG35 · pith_short_8: 4WTNSAIU

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/4WTNSAIUO2QWTG35HH2OCWEKDG \
  | 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: e5a6d9011476a1699b7d39f4e1588a19a54e2a18558329171e5cc7a1ceb3c01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5a4025bd64861ce704bfd3109a38552dbbfb6e40c32de995617664e724b378",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-31T21:10:14Z",
    "title_canon_sha256": "a02a78e32fe7526b3f4de02825dc0002fc88dcf38121679e5c8cfd9755a9fbce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00063",
    "kind": "arxiv",
    "version": 1
  }
}