Pith Number

pith:56GHV2LO

pith:2012:56GHV2LOFRO743C7BUZ52EJPB4

not attested not anchored not stored refs pending

Computing the rho-invariants of links via the signature of colored links with applications to the linear independence of twist knots

Christopher William Davis

arxiv:1201.6068 v3 · 2012-01-29 · 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{56GHV2LOFRO743C7BUZ52EJPB4}

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	2026-05-18T03:28:17.652186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8c7ae96e2c5dfe6c5f0d33dd112f0f1ac2ea4eddc8eaa478f6a432e2853f91

Aliases

arxiv: 1201.6068 · arxiv_version: 1201.6068v3 · doi: 10.48550/arxiv.1201.6068 · pith_short_12: 56GHV2LOFRO7 · pith_short_16: 56GHV2LOFRO743C7 · pith_short_8: 56GHV2LO

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/56GHV2LOFRO743C7BUZ52EJPB4 \
  | 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: ef8c7ae96e2c5dfe6c5f0d33dd112f0f1ac2ea4eddc8eaa478f6a432e2853f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4466f50b829f9f7bdf8132c7f5efa505e40e82476e528c2862883170dbfefaa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-29T19:25:35Z",
    "title_canon_sha256": "f894f58478b7aee1b73fcd92d35699aa678f1984c5ed4b1e726622474d285f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6068",
    "kind": "arxiv",
    "version": 3
  }
}