Pith Number

pith:77ZVD2BZ

pith:2015:77ZVD2BZUFFUPOWABLQTIL4BM3

not attested not anchored not stored refs pending

On ambiguity in knot polynomials for virtual knots

A. Morozov, An. Morozov, A. Popolitov

arxiv:1511.08242 v2 · 2015-11-25 · hep-th · math-ph · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77ZVD2BZUFFUPOWABLQTIL4BM3}

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	2026-05-18T00:58:34.519711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff351e839a14b47bac00ae1342f8166f08f48c8ee1df441829f62595c707360

Aliases

arxiv: 1511.08242 · arxiv_version: 1511.08242v2 · doi: 10.48550/arxiv.1511.08242 · pith_short_12: 77ZVD2BZUFFU · pith_short_16: 77ZVD2BZUFFUPOWA · pith_short_8: 77ZVD2BZ

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/77ZVD2BZUFFUPOWABLQTIL4BM3 \
  | 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: fff351e839a14b47bac00ae1342f8166f08f48c8ee1df441829f62595c707360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "851b5903cdbd27d1d035385d1e63b8877ac0650b51a512916b4f2e11ee5fe36d",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-25T22:09:16Z",
    "title_canon_sha256": "a9bcfb9c67317e9c47a717bb5f6317367b3ba7240601d4e09b26513be8a74958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08242",
    "kind": "arxiv",
    "version": 2
  }
}