Pith Number

pith:DUWLPKAA

pith:2022:DUWLPKAATM57DUVXU6M6RQZBZZ

not attested not anchored not stored refs pending

An avoidance principle and Margulis functions for expanding translates of unipotent orbits

Anthony Sanchez, Juno Seong

arxiv:2206.12019 v1 · 2022-06-24 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUWLPKAATM57DUVXU6M6RQZBZZ}

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	2026-07-05T04:34:32.052789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d2cb7a8009b3bf1d2b7a799e8c321ce79e11269e89e1d10d0d2325b4dcf0553

Aliases

arxiv: 2206.12019 · arxiv_version: 2206.12019v1 · doi: 10.48550/arxiv.2206.12019 · pith_short_12: DUWLPKAATM57 · pith_short_16: DUWLPKAATM57DUVX · pith_short_8: DUWLPKAA

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/DUWLPKAATM57DUVXU6M6RQZBZZ \
  | 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: 1d2cb7a8009b3bf1d2b7a799e8c321ce79e11269e89e1d10d0d2325b4dcf0553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f71070f7043139c64b23c2ddab79356c03ebb8fa19a413ec0ee47f95fc3101e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-06-24T00:09:36Z",
    "title_canon_sha256": "504ca21ac9df54027c01bc2334ca9034f8b5c367aec9994f25980455806b2f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12019",
    "kind": "arxiv",
    "version": 1
  }
}