Pith Number

pith:NF4ZZ2IC

pith:2009:NF4ZZ2IC5ARLUZHXNV5HFAQC3L

not attested not anchored not stored refs pending

2-torsion in the n-solvable filtration of the knot concordance group

Constance Leidy (Wesleyan University), Shelly Harvey (Rice University), Tim D. Cochran (Rice University)

arxiv:0907.4789 v2 · 2009-07-27 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF4ZZ2IC5ARLUZHXNV5HFAQC3L}

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	2026-05-18T04:26:55.660039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69799ce902e822ba64f76d7a728202dadd8319f5c4527049e4792bcf44813841

Aliases

arxiv: 0907.4789 · arxiv_version: 0907.4789v2 · doi: 10.48550/arxiv.0907.4789 · pith_short_12: NF4ZZ2IC5ARL · pith_short_16: NF4ZZ2IC5ARLUZHX · pith_short_8: NF4ZZ2IC

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/NF4ZZ2IC5ARLUZHXNV5HFAQC3L \
  | 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: 69799ce902e822ba64f76d7a728202dadd8319f5c4527049e4792bcf44813841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b208eebd5c3949945b26c2bd0f1604d7c6653546c2a6433b59b2dc26fb4dab",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-27T22:29:40Z",
    "title_canon_sha256": "6171080358d1c8f584e27e13a64a9a3eab1d0e34d49d66b45230cb23a1ed4412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4789",
    "kind": "arxiv",
    "version": 2
  }
}