Pith Number

pith:TY4NQIHK

pith:2012:TY4NQIHKVUQE7W63ALYQPU25UV

not attested not anchored not stored refs pending

A new proof for small cancellation conditions of 2-bridge link groups

Daewa Kim, Donghi Lee

arxiv:1204.4292 v1 · 2012-04-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4NQIHKVUQE7W63ALYQPU25UV}

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	2026-05-18T03:57:27.900509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e38d820eaad204fdbdb02f107d35da56b0037b36db09878d73e5e2d30a288c8

Aliases

arxiv: 1204.4292 · arxiv_version: 1204.4292v1 · doi: 10.48550/arxiv.1204.4292 · pith_short_12: TY4NQIHKVUQE · pith_short_16: TY4NQIHKVUQE7W63 · pith_short_8: TY4NQIHK

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/TY4NQIHKVUQE7W63ALYQPU25UV \
  | 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: 9e38d820eaad204fdbdb02f107d35da56b0037b36db09878d73e5e2d30a288c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664c76188438b82e858138cbaa217965898e252177b4b48c5fd0e504ac14d4c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-19T09:18:51Z",
    "title_canon_sha256": "86745e59e98e18100cf31454327c8d7dbec62d28108c1e475a85788d201c55e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4292",
    "kind": "arxiv",
    "version": 1
  }
}