Pith Number

pith:EXVDAUIP

pith:2026:EXVDAUIP2FHN66UJTVOLTHDH36

not attested not anchored not stored refs pending

Strict concavity of the growth indicator function for relatively Anosov groups

Andrew Zimmer, Dongryul M. Kim, Hee Oh

arxiv:2607.13760 v1 · 2026-07-15 · math.DG · math.DS · math.GR · 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{EXVDAUIP2FHN66UJTVOLTHDH36}

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	2026-07-16T01:23:04.989453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25ea30510fd14edf7a899d5cb99c67df99007b0efa6a3c765fc78ef45dc505d3

Aliases

arxiv: 2607.13760 · arxiv_version: 2607.13760v1 · doi: 10.48550/arxiv.2607.13760 · pith_short_12: EXVDAUIP2FHN · pith_short_16: EXVDAUIP2FHN66UJ · pith_short_8: EXVDAUIP

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/EXVDAUIP2FHN66UJTVOLTHDH36 \
  | 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: 25ea30510fd14edf7a899d5cb99c67df99007b0efa6a3c765fc78ef45dc505d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615c7d8c125058f4c6469603152ab4630414318fc477a9dbc454b96e9f29c2e7",
    "cross_cats_sorted": [
      "math.DS",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-15T12:21:23Z",
    "title_canon_sha256": "64ff3c23c753a22a814984e4b67efae74a14cba49a988e986678d49bcb337e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13760",
    "kind": "arxiv",
    "version": 1
  }
}