Pith Number

pith:O77SEMMX

pith:2016:O77SEMMXV5VOQ35XJW54KRMIKG

not attested not anchored not stored refs pending

Rectangular superpolynomials for the figure-eight knot

A. Morozov, Ya. Kononov

arxiv:1609.00143 v2 · 2016-09-01 · 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{O77SEMMXV5VOQ35XJW54KRMIKG}

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	2026-05-18T00:32:03.045236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77ff223197af6ae86fb74dbbc54588519afe041e8f7db935e359b2e555fbd74b

Aliases

arxiv: 1609.00143 · arxiv_version: 1609.00143v2 · doi: 10.48550/arxiv.1609.00143 · pith_short_12: O77SEMMXV5VO · pith_short_16: O77SEMMXV5VOQ35X · pith_short_8: O77SEMMX

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/O77SEMMXV5VOQ35XJW54KRMIKG \
  | 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: 77ff223197af6ae86fb74dbbc54588519afe041e8f7db935e359b2e555fbd74b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8acf414c81ae745ee83fb6a5ad9946a1fe9e6125033d3f7de332928eacdcc07",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-01T08:30:42Z",
    "title_canon_sha256": "aa0caf519076aafdbcbb69910f26767087a1891ab6b62a1dab737e774ffa8063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00143",
    "kind": "arxiv",
    "version": 2
  }
}