Pith Number

pith:P5F4UARJ

pith:2016:P5F4UARJTMGJWUEJV4MLEV4OXD

not attested not anchored not stored refs pending

On classical upper bounds for slice genera

Lukas Lewark, Peter Feller

arxiv:1611.02679 v3 · 2016-11-08 · 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{P5F4UARJTMGJWUEJV4MLEV4OXD}

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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

A note on the topological slice genus of satellite knots

Receipt and verification

First computed	2026-07-05T01:13:03.902191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4bca02299b0c9b5089af18b2578eb8db1df4092301e1480b934c2a8712f074

Aliases

arxiv: 1611.02679 · arxiv_version: 1611.02679v3 · doi: 10.48550/arxiv.1611.02679 · pith_short_12: P5F4UARJTMGJ · pith_short_16: P5F4UARJTMGJWUEJ · pith_short_8: P5F4UARJ

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/P5F4UARJTMGJWUEJV4MLEV4OXD \
  | 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: 7f4bca02299b0c9b5089af18b2578eb8db1df4092301e1480b934c2a8712f074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d285c3e4d0480f48488e172f9268d7f4402b1e96f7152493b4de66e229674a96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-08T20:19:08Z",
    "title_canon_sha256": "34aaae3671718fd77e71a03783721aefbf46be4c0ec0c0eba525e74796681ca5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02679",
    "kind": "arxiv",
    "version": 3
  }
}