Pith Number

pith:SFFFVD3X

pith:2017:SFFFVD3XU7EAU6HFHIA2UYWMCP

not attested not anchored not stored refs pending

The Dold-Whitney theorem and the Sato-Levine invariant

Andrew Lobb

arxiv:1709.09922 v1 · 2017-09-28 · 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{SFFFVD3XU7EAU6HFHIA2UYWMCP}

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	2026-05-18T00:34:06.212156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914a5a8f77a7c80a78e53a01aa62cc13ce753815378f1e0523a71fe2d19c5fab

Aliases

arxiv: 1709.09922 · arxiv_version: 1709.09922v1 · doi: 10.48550/arxiv.1709.09922 · pith_short_12: SFFFVD3XU7EA · pith_short_16: SFFFVD3XU7EAU6HF · pith_short_8: SFFFVD3X

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/SFFFVD3XU7EAU6HFHIA2UYWMCP \
  | 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: 914a5a8f77a7c80a78e53a01aa62cc13ce753815378f1e0523a71fe2d19c5fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc0cc9a49430b24464017aa8f5836f8e189a56e02445dfa6e85012e24cac3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-28T12:41:46Z",
    "title_canon_sha256": "23dbe829bc47be332df5dc26a51033ef2287b0d72d5c1253ec5c6d9f7f92b55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09922",
    "kind": "arxiv",
    "version": 1
  }
}