Pith Number

pith:XD4EGF7N

pith:2025:XD4EGF7NBWZRMRVTRRV6RUOCJM

not attested not anchored not stored refs pending

Relative Free Splitting Complexes III: Stable Translation Lengths and Filling Paths

Lee Mosher, Michael Handel

arxiv:2503.07532 v1 · 2025-03-10 · 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{XD4EGF7NBWZRMRVTRRV6RUOCJM}

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	2026-07-05T10:28:06.552042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f84317ed0db31646b38c6be8d1c24b3afb68bbfaf73e249cb87a7dabb31ce8

Aliases

arxiv: 2503.07532 · arxiv_version: 2503.07532v1 · doi: 10.48550/arxiv.2503.07532 · pith_short_12: XD4EGF7NBWZR · pith_short_16: XD4EGF7NBWZRMRVT · pith_short_8: XD4EGF7N

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/XD4EGF7NBWZRMRVTRRV6RUOCJM \
  | 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: b8f84317ed0db31646b38c6be8d1c24b3afb68bbfaf73e249cb87a7dabb31ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ceacfcdb32660ef6af8b6f6b587ff3803a6ac50feec0335d9587723295263e73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-03-10T17:00:16Z",
    "title_canon_sha256": "2b34b25223e7f476164cb81d5d0acc391161f5c812a891966d6cd7d69806d8a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07532",
    "kind": "arxiv",
    "version": 1
  }
}