Pith Number

pith:ZVX7XHT3

pith:2010:ZVX7XHT3BER3NQSEPET5E7DKRV

not attested not anchored not stored refs pending

Von Neumann rho invariants and torsion in the topological knot concordance group

Christopher William Davis

arxiv:1010.5020 v3 · 2010-10-24 · 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{ZVX7XHT3BER3NQSEPET5E7DKRV}

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	2026-05-18T02:41:50.704090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd6ffb9e7b0923b6c2447927d27c6a8d6f764f8485fd36efbbb7df0d458eeec3

Aliases

arxiv: 1010.5020 · arxiv_version: 1010.5020v3 · doi: 10.48550/arxiv.1010.5020 · pith_short_12: ZVX7XHT3BER3 · pith_short_16: ZVX7XHT3BER3NQSE · pith_short_8: ZVX7XHT3

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/ZVX7XHT3BER3NQSEPET5E7DKRV \
  | 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: cd6ffb9e7b0923b6c2447927d27c6a8d6f764f8485fd36efbbb7df0d458eeec3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a67130f2dd69562de1fa1bb06eaee382b22fe451dbb789f190dc4597ece0cdd",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-10-24T22:59:47Z",
    "title_canon_sha256": "70caad5b50737cf258ca855447422dce45bda0b34e47de14996b68500cdfe0f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5020",
    "kind": "arxiv",
    "version": 3
  }
}