Pith Number

pith:GIC5L3OT

pith:2016:GIC5L3OTR56BPU5EDTKLNQFZEL

not attested not anchored not stored refs pending

Classifying spaces for knots: New bridges between knot theory and algebraic number theory

Federico William Pasini

arxiv:1609.00820 v3 · 2016-09-03 · math.AT · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIC5L3OTR56BPU5EDTKLNQFZEL}

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.

Cited by

1 paper in Pith

Ramification Subgroups of Knot Groups and their Profinite and Cohomological Structure

Receipt and verification

First computed	2026-05-18T00:59:41.624372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3205d5edd38f7c17d3a41cd4b6c0b922edde294470300def0e4dda0b16a63df1

Aliases

arxiv: 1609.00820 · arxiv_version: 1609.00820v3 · doi: 10.48550/arxiv.1609.00820 · pith_short_12: GIC5L3OTR56B · pith_short_16: GIC5L3OTR56BPU5E · pith_short_8: GIC5L3OT

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/GIC5L3OTR56BPU5EDTKLNQFZEL \
  | 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: 3205d5edd38f7c17d3a41cd4b6c0b922edde294470300def0e4dda0b16a63df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74e3dfcf485d0ad002deaa9810bc8911c9b949e91cf60c08f1a9dcc4f5713ca",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-03T11:58:24Z",
    "title_canon_sha256": "72d2eddaa15733ccfdf3cb016169ecb4e1769591784eb0242776d7b1f392ce8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00820",
    "kind": "arxiv",
    "version": 3
  }
}