Pith Number

pith:QFMFMFDZ

pith:2017:QFMFMFDZ6IMAC5Z2FMJLTIJHYF

not attested not anchored not stored refs pending

The normal closure of big Dehn twists, and plate spinning with rotating families

Fran\c{c}ois Dahmani

arxiv:1703.08968 v3 · 2017-03-27 · 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{QFMFMFDZ6IMAC5Z2FMJLTIJHYF}

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	2026-05-17T23:56:43.194815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8158561479f21801773a2b12b9a127c16ade59cd718bf6726d66c72fe02906c3

Aliases

arxiv: 1703.08968 · arxiv_version: 1703.08968v3 · doi: 10.48550/arxiv.1703.08968 · pith_short_12: QFMFMFDZ6IMA · pith_short_16: QFMFMFDZ6IMAC5Z2 · pith_short_8: QFMFMFDZ

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/QFMFMFDZ6IMAC5Z2FMJLTIJHYF \
  | 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: 8158561479f21801773a2b12b9a127c16ade59cd718bf6726d66c72fe02906c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7cd1e39ad247c687697c184308c30f75da272cace8cfc4ed5600415035e695f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-27T08:24:35Z",
    "title_canon_sha256": "24d78398b2eb318b842ea48c07df205107dfee43386d93c1d73970ebbc35ce14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08968",
    "kind": "arxiv",
    "version": 3
  }
}