Pith Number

pith:W6F53XG4

pith:2008:W6F53XG4IIECTVYBQGELBEO7V3

not attested not anchored not stored refs pending

A homotopy-theoretic view of Bott-Taubes integrals and knot spaces

Robin Koytcheff

arxiv:0810.1785 v1 · 2008-10-10 · math.AT · 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{W6F53XG4IIECTVYBQGELBEO7V3}

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	2026-05-18T02:41:51.463295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b78bdddcdc420829d7018188b091dfaedccea488cb18a9b5b3bf78abff028c72

Aliases

arxiv: 0810.1785 · arxiv_version: 0810.1785v1 · doi: 10.48550/arxiv.0810.1785 · pith_short_12: W6F53XG4IIEC · pith_short_16: W6F53XG4IIECTVYB · pith_short_8: W6F53XG4

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/W6F53XG4IIECTVYBQGELBEO7V3 \
  | 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: b78bdddcdc420829d7018188b091dfaedccea488cb18a9b5b3bf78abff028c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8e2ba85a24085514bf10768bbdf151f0daabc6d41f7d3ec1451c86cef9120e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-10-10T00:08:39Z",
    "title_canon_sha256": "384808be0e60c77e21faec72abbb72042f1ac6997ff155b5869da36b39da83be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.1785",
    "kind": "arxiv",
    "version": 1
  }
}