Pith Number

pith:CHKMTLYH

pith:2022:CHKMTLYHWF52V7Y4TODZPX62EJ

not attested not anchored not stored refs pending

Relative Free Splitting Complexes II: Stable Translation Lengths and the Two Over All Theorem

Lee Mosher, Michael Handel

arxiv:2212.09907 v2 · 2022-12-19 · 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{CHKMTLYHWF52V7Y4TODZPX62EJ}

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	2026-07-05T10:28:10.139311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11d4c9af07b17baaff1c9b8797dfda227666306d535ff665067ce07765117f50

Aliases

arxiv: 2212.09907 · arxiv_version: 2212.09907v2 · doi: 10.48550/arxiv.2212.09907 · pith_short_12: CHKMTLYHWF52 · pith_short_16: CHKMTLYHWF52V7Y4 · pith_short_8: CHKMTLYH

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/CHKMTLYHWF52V7Y4TODZPX62EJ \
  | 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: 11d4c9af07b17baaff1c9b8797dfda227666306d535ff665067ce07765117f50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c35459f64f7f8350881a8863b2f8c5173b2c1ce116cca9c2bba995dee8faeecc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-12-19T23:13:32Z",
    "title_canon_sha256": "231274e37565da9c13aec98e0230611c2ff904d55f5217b3c3e1c62f8ed3f422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09907",
    "kind": "arxiv",
    "version": 2
  }
}