Pith Number

pith:G3Q7PYNE

pith:2011:G3Q7PYNEVXO4RBE7BYS3BCLUB4

not attested not anchored not stored refs pending

Homotopy Bott-Taubes integrals and the Taylor tower for spaces of knots and links

Robin Koytcheff

arxiv:1102.2270 v3 · 2011-02-11 · 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{G3Q7PYNEVXO4RBE7BYS3BCLUB4}

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	2026-05-18T00:30:34.409406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e1f7e1a4adddc8849f0e25b089740f260a8d3e1c5c50f15ae5709c981bf556

Aliases

arxiv: 1102.2270 · arxiv_version: 1102.2270v3 · doi: 10.48550/arxiv.1102.2270 · pith_short_12: G3Q7PYNEVXO4 · pith_short_16: G3Q7PYNEVXO4RBE7 · pith_short_8: G3Q7PYNE

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/G3Q7PYNEVXO4RBE7BYS3BCLUB4 \
  | 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: 36e1f7e1a4adddc8849f0e25b089740f260a8d3e1c5c50f15ae5709c981bf556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "829dfc3d6c1dcb378628890ecb56eaf34594a7020f7ecde0caf186eeb805d49e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-11T02:58:23Z",
    "title_canon_sha256": "12a34150ed9ee262970b1cbc0ab1ff4f8a31f6cda0492d0ea2bcc4d3dd8afa02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2270",
    "kind": "arxiv",
    "version": 3
  }
}