Pith Number

pith:3UEJZ3OM

pith:2014:3UEJZ3OM4DTX4BVSZJ5LKE5LFE

not attested not anchored not stored refs pending

Realizing Exterior Cromwell moves on rectangular diagrams by Reidemeister moves

Chuichiro Hayashi, Tatsuo Ando, Yuki Nishikawa

arxiv:1403.0209 v1 · 2014-03-02 · 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{3UEJZ3OM4DTX4BVSZJ5LKE5LFE}

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	2026-05-18T02:57:25.442866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd089cedcce0e77e06b2ca7ab513ab293be227f617d47a5ef104a1098db29b62

Aliases

arxiv: 1403.0209 · arxiv_version: 1403.0209v1 · doi: 10.48550/arxiv.1403.0209 · pith_short_12: 3UEJZ3OM4DTX · pith_short_16: 3UEJZ3OM4DTX4BVS · pith_short_8: 3UEJZ3OM

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/3UEJZ3OM4DTX4BVSZJ5LKE5LFE \
  | 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: dd089cedcce0e77e06b2ca7ab513ab293be227f617d47a5ef104a1098db29b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad22912dcc0e6697683d5cbc9815b61963c0cc6477538dd7141009ed98f84541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-02T14:04:03Z",
    "title_canon_sha256": "7c6a87c94fa59424661da5342579713232609699605426a0b5b673f4cff095b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0209",
    "kind": "arxiv",
    "version": 1
  }
}