Pith Number

pith:QSLWX6DU

pith:2006:QSLWX6DUT5Q6MBH5V36QO3LUF3

not attested not anchored not stored refs pending

Configuration space integral for long n-knots, the Alexander polynomial and knot space cohomology

Tadayuki Watanabe

arxiv:math/0609742 v2 · 2006-09-27 · 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{QSLWX6DUT5Q6MBH5V36QO3LUF3}

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.

Cited by

1 paper in Pith

A simple way to reduce the number of contours in the multi-fold Mellin-Barnes integrals

Receipt and verification

First computed	2026-07-04T14:56:36.503232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84976bf8749f61e604fdaefd076d742efb54d5208b061bf0138143375636cc6c

Aliases

arxiv: math/0609742 · arxiv_version: math/0609742v2 · doi: 10.48550/arxiv.math/0609742 · pith_short_12: QSLWX6DUT5Q6 · pith_short_16: QSLWX6DUT5Q6MBH5 · pith_short_8: QSLWX6DU

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/QSLWX6DUT5Q6MBH5V36QO3LUF3 \
  | 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: 84976bf8749f61e604fdaefd076d742efb54d5208b061bf0138143375636cc6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a1ea48d3af7e4b9f2a9d031f8f69a215f994b5bf10c95023fa05541f42a1fd4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-09-27T09:33:26Z",
    "title_canon_sha256": "b2883884f745a7a68c82c0816a19dc4dc90f844049b74c6b393c73694f780225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609742",
    "kind": "arxiv",
    "version": 2
  }
}