Pith Number

pith:S2JMT4N4

pith:2013:S2JMT4N4CE42LNP3S6AV57M6JR

not attested not anchored not stored refs pending

Some families of minimal elements for the partial ordering on prime knots

Anh T. Tran, Fumikazu Nagasato

arxiv:1301.0138 v2 · 2013-01-01 · 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{S2JMT4N4CE42LNP3S6AV57M6JR}

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	2026-05-18T02:43:52.494086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9692c9f1bc1139a5b5fb97815efd9e4c43a34b88939503c799bfc5341c1927d4

Aliases

arxiv: 1301.0138 · arxiv_version: 1301.0138v2 · doi: 10.48550/arxiv.1301.0138 · pith_short_12: S2JMT4N4CE42 · pith_short_16: S2JMT4N4CE42LNP3 · pith_short_8: S2JMT4N4

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/S2JMT4N4CE42LNP3S6AV57M6JR \
  | 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: 9692c9f1bc1139a5b5fb97815efd9e4c43a34b88939503c799bfc5341c1927d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac314cd6ef0db7bef42c011a6055b3483c6f390de67b20a6ecba2164f6ddb89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-01-01T21:44:02Z",
    "title_canon_sha256": "ac865d81e9491761bc06b001e9d18f011dd2ece0753c79426b2782dbb81c3f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0138",
    "kind": "arxiv",
    "version": 2
  }
}