Pith Number

pith:G7NG4U7S

pith:2015:G7NG4U7SJXFQC4K7GAQGFTXNLZ

not attested not anchored not stored refs pending

A cabling formula for $\nu^+$ invariant

Zhongtao Wu

arxiv:1501.04749 v1 · 2015-01-20 · 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{G7NG4U7SJXFQC4K7GAQGFTXNLZ}

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	2026-05-18T02:29:02.936227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37da6e53f24dcb01715f302062ceed5e7a59eed575e0e50f5cb7198298db120d

Aliases

arxiv: 1501.04749 · arxiv_version: 1501.04749v1 · doi: 10.48550/arxiv.1501.04749 · pith_short_12: G7NG4U7SJXFQ · pith_short_16: G7NG4U7SJXFQC4K7 · pith_short_8: G7NG4U7S

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/G7NG4U7SJXFQC4K7GAQGFTXNLZ \
  | 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: 37da6e53f24dcb01715f302062ceed5e7a59eed575e0e50f5cb7198298db120d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c34f2bca26897f6ab355d3c8cd4deb95627a66ac9ab91cb5ab08870c81a504a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-20T10:04:27Z",
    "title_canon_sha256": "89b8438e4d10c5e1aca023e1969c1b973e37a73f440aeff7450abcd067410d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04749",
    "kind": "arxiv",
    "version": 1
  }
}