Pith Number

pith:SNM4WG6A

pith:2011:SNM4WG6ALFNSBEOLIPIMEFPJ2M

not attested not anchored not stored refs pending

An alternating labeling on a spanning tree of Seifert graphs and applications in knot theory

Dongseok Kim

arxiv:1108.1455 v2 · 2011-08-06 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNM4WG6ALFNSBEOLIPIMEFPJ2M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:59:48.628885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9359cb1bc0595b2091cb43d0c215e9d32b186e8554ec327c6450c566f96f08df

Aliases

arxiv: 1108.1455 · arxiv_version: 1108.1455v2 · doi: 10.48550/arxiv.1108.1455 · pith_short_12: SNM4WG6ALFNS · pith_short_16: SNM4WG6ALFNSBEOL · pith_short_8: SNM4WG6A

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/SNM4WG6ALFNSBEOLIPIMEFPJ2M \
  | 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: 9359cb1bc0595b2091cb43d0c215e9d32b186e8554ec327c6450c566f96f08df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02c8c2ff567bb29a10a7c4210dd34921df66b5b4e23c13cbe2fef677d2ff8a5f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-06T06:55:45Z",
    "title_canon_sha256": "8a092558ff6dd2609776864f731f39119a9ac274ef560bb302dce98ba1df75f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1455",
    "kind": "arxiv",
    "version": 2
  }
}