Pith Number

pith:M4QZL6M4

pith:2019:M4QZL6M42OZQIITMENM2CLPFP5

not attested not anchored not stored refs pending

The effect of link Dehn surgery on the Thurston norm

Maggie Miller

arxiv:1906.08458 v2 · 2019-06-20 · 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{M4QZL6M42OZQIITMENM2CLPFP5}

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	2026-05-17T23:41:57.757816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f

Aliases

arxiv: 1906.08458 · arxiv_version: 1906.08458v2 · doi: 10.48550/arxiv.1906.08458 · pith_short_12: M4QZL6M42OZQ · pith_short_16: M4QZL6M42OZQIITM · pith_short_8: M4QZL6M4

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/M4QZL6M42OZQIITMENM2CLPFP5 \
  | 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: 672195f99cd3b304226c2359a12de57f7df90e742857c93b5fc0513db532030f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56844fbd384aa1a376771a0e7fb3f09d761804a80462adb3624d3b4da9026d5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-06-20T06:26:20Z",
    "title_canon_sha256": "98980f905ce10d3739ea4e8d8db61689b57c14203eea93ae683776a74d02bd49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08458",
    "kind": "arxiv",
    "version": 2
  }
}