Pith Number

pith:T6A3HUE5

pith:2006:T6A3HUE5QYCXPYKZIC2XN5UHDZ

not attested not anchored not stored refs pending

A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds

Evgeniy V. Martyushev, Igor G. Korepanov, J\'er\^ome Dubois

arxiv:math/0605164 v5 · 2006-05-06 · math.GT · math-ph · math.AT · 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{T6A3HUE5QYCXPYKZIC2XN5UHDZ}

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	2026-05-18T02:37:52.508088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f81b3d09d860577e15940b576f6871e5260535825d611addf4bec7ce0f6d8b4

Aliases

arxiv: math/0605164 · arxiv_version: math/0605164v5 · doi: 10.48550/arxiv.math/0605164 · pith_short_12: T6A3HUE5QYCX · pith_short_16: T6A3HUE5QYCXPYKZ · pith_short_8: T6A3HUE5

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/T6A3HUE5QYCXPYKZIC2XN5UHDZ \
  | 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: 9f81b3d09d860577e15940b576f6871e5260535825d611addf4bec7ce0f6d8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "553870881a59f43e5912317aeb306dcaf2097f159ba4898f760bc2363a926d24",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-05-06T10:08:54Z",
    "title_canon_sha256": "40673e88be2179007ad6774940e366f00c9200535ed4d1782da2d5b4a522aed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605164",
    "kind": "arxiv",
    "version": 5
  }
}