Pith Number

pith:6YIBW43Z

pith:2011:6YIBW43ZIUD6SPAAUWO46JJCNO

not attested not anchored not stored refs pending

Diffeomorphisms of Elliptic 3-Manifolds

Darryl McCullough, J. H. Rubinstein, John Kalliongis, Sungbok Hong

arxiv:1110.4996 v1 · 2011-10-22 · 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{6YIBW43ZIUD6SPAAUWO46JJCNO}

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	2026-05-18T04:10:24.965329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6101b73794507e93c00a59dcf25226bb51bc43497be61c2ff8b4c74d1efd8f5

Aliases

arxiv: 1110.4996 · arxiv_version: 1110.4996v1 · doi: 10.48550/arxiv.1110.4996 · pith_short_12: 6YIBW43ZIUD6 · pith_short_16: 6YIBW43ZIUD6SPAA · pith_short_8: 6YIBW43Z

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/6YIBW43ZIUD6SPAAUWO46JJCNO \
  | 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: f6101b73794507e93c00a59dcf25226bb51bc43497be61c2ff8b4c74d1efd8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55f49ef85b412d5ec9b36c003e4b4babf347070d733805c9e8557d15f1b7f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-22T20:17:23Z",
    "title_canon_sha256": "a8bfe1abb498b87e20ba8abf1cda2eed9c7960df707334b6f5570329fd7f46df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4996",
    "kind": "arxiv",
    "version": 1
  }
}