Pith Number

pith:MFLKLVES

pith:2011:MFLKLVESNU65NDCNAIG56B4FWM

not attested not anchored not stored refs pending

Mutation and recombination for hyperbolic 3-manifolds

Thilo Kuessner

arxiv:1102.2420 v3 · 2011-02-11 · 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{MFLKLVESNU65NDCNAIG56B4FWM}

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	2026-05-18T04:23:12.869271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6156a5d4926d3dd68c4d020ddf0785b31f00784a98243c4f1b5290f904a0a8f9

Aliases

arxiv: 1102.2420 · arxiv_version: 1102.2420v3 · doi: 10.48550/arxiv.1102.2420 · pith_short_12: MFLKLVESNU65 · pith_short_16: MFLKLVESNU65NDCN · pith_short_8: MFLKLVES

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/MFLKLVESNU65NDCNAIG56B4FWM \
  | 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: 6156a5d4926d3dd68c4d020ddf0785b31f00784a98243c4f1b5290f904a0a8f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15bca3219c03e1ec4e6cdf2ec9ba474499289effa932ea67041145a66042af14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-11T20:00:11Z",
    "title_canon_sha256": "b3d2cf086fe3f7af6d6650e8ef33e2d219c178a177883f7471db6e67b1422538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2420",
    "kind": "arxiv",
    "version": 3
  }
}