Pith Number

pith:BYCP42ZM

pith:2025:BYCP42ZMJYKL4QIT6Y552HZ6ZS

not attested not anchored not stored refs pending

The limit cone and bounds on the growth indicator function

Lasse Lennart Wolf

arxiv:2511.06996 v2 · 2025-11-10 · math.RT · math.GR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYCP42ZMJYKL4QIT6Y552HZ6ZS}

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	2026-08-04T02:09:05.367088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e04fe6b2c4e14be4113f63bdd1f3ecc9880d1f306ca0140b9c4c43773efe3b0

Aliases

arxiv: 2511.06996 · arxiv_version: 2511.06996v2 · doi: 10.48550/arxiv.2511.06996 · pith_short_12: BYCP42ZMJYKL · pith_short_16: BYCP42ZMJYKL4QIT · pith_short_8: BYCP42ZM

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/BYCP42ZMJYKL4QIT6Y552HZ6ZS \
  | 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: 0e04fe6b2c4e14be4113f63bdd1f3ecc9880d1f306ca0140b9c4c43773efe3b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32bacd0f1817c3fa5c4afebcacfc53092f378a8fa9d52b78eecb6f881a11d63a",
    "cross_cats_sorted": [
      "math.GR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-11-10T11:47:08Z",
    "title_canon_sha256": "ebe84e9c12a1eeaea0ce00c124921de91793e44e6dec5f9017868ddfddcf2eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.06996",
    "kind": "arxiv",
    "version": 2
  }
}