Pith Number

pith:SMDZO2BR

pith:2014:SMDZO2BR64UOFQINZCQ4K4SGKS

not attested not anchored not stored refs pending

On the Residual Finiteness Growths of Particular Hyperbolic Manifold Groups

Priyam Patel

arxiv:1412.6835 v2 · 2014-12-21 · math.GT · 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{SMDZO2BR64UOFQINZCQ4K4SGKS}

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	2026-05-18T01:16:09.911087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9307976831f728e2c10dc8a1c5724654bfd292c8c4b2448e4cfb97661dbc204c

Aliases

arxiv: 1412.6835 · arxiv_version: 1412.6835v2 · doi: 10.48550/arxiv.1412.6835 · pith_short_12: SMDZO2BR64UO · pith_short_16: SMDZO2BR64UOFQIN · pith_short_8: SMDZO2BR

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/SMDZO2BR64UOFQINZCQ4K4SGKS \
  | 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: 9307976831f728e2c10dc8a1c5724654bfd292c8c4b2448e4cfb97661dbc204c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df008d7c0594316758e1e1d65acd6a4007cd278ae2138b37644015736c6b091",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-21T20:52:41Z",
    "title_canon_sha256": "c6c9a8d41caca4f09a2e28dc645f78644f521e28ffe4dc235625fd4b9b2e96ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6835",
    "kind": "arxiv",
    "version": 2
  }
}