Pith Number

pith:HUWJSCLA

pith:2024:HUWJSCLA7J3RFQP3FVOOSRJID5

not attested not anchored not stored refs pending

On the spectrum of residual finiteness growth functions

Henry Bradford

arxiv:2402.03556 v2 · 2024-02-05 · 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{HUWJSCLA7J3RFQP3FVOOSRJID5}

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.

Cited by

2 papers in Pith

Characters of surface groups

Groups with arbitrarily poor permutation stability

Receipt and verification

First computed	2026-07-05T08:52:52.177004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d2c990960fa7712c1fb2d5ce945281f6bb0ca0b6278b7fd7d361dca0ee1060d

Aliases

arxiv: 2402.03556 · arxiv_version: 2402.03556v2 · doi: 10.48550/arxiv.2402.03556 · pith_short_12: HUWJSCLA7J3R · pith_short_16: HUWJSCLA7J3RFQP3 · pith_short_8: HUWJSCLA

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/HUWJSCLA7J3RFQP3FVOOSRJID5 \
  | 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: 3d2c990960fa7712c1fb2d5ce945281f6bb0ca0b6278b7fd7d361dca0ee1060d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d2f3f359632852d7717e850f9e34eab97a33697f536af4d8942785ad6196fba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-02-05T22:14:35Z",
    "title_canon_sha256": "84294e489b987f40e0dbc4bdaa1b1bfdcc6de433c84d14ea845e516b036ff1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.03556",
    "kind": "arxiv",
    "version": 2
  }
}