Pith Number

pith:OI77RHA6

pith:2014:OI77RHA6UJKL5YZE2VK4FMAM3K

not attested not anchored not stored refs pending

Full residual finiteness growths of nilpotent groups

Daniel Studenmund, Khalid Bou-Rabee

arxiv:1406.3763 v3 · 2014-06-14 · 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{OI77RHA6UJKL5YZE2VK4FMAM3K}

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	2026-05-18T02:17:21.964696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723ff89c1ea254bee324d555c2b00cdaa6f5b86aed1087cd4bcba9f04981001a

Aliases

arxiv: 1406.3763 · arxiv_version: 1406.3763v3 · doi: 10.48550/arxiv.1406.3763 · pith_short_12: OI77RHA6UJKL · pith_short_16: OI77RHA6UJKL5YZE · pith_short_8: OI77RHA6

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/OI77RHA6UJKL5YZE2VK4FMAM3K \
  | 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: 723ff89c1ea254bee324d555c2b00cdaa6f5b86aed1087cd4bcba9f04981001a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a755879eaac33b330a3e23d43eea17cdf397aa0a724479275c9885b18a2cff5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-14T19:22:27Z",
    "title_canon_sha256": "4fdc63b15f3c1acf2c7610f59b0a14d7c653d3a79f761176e209836012330d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3763",
    "kind": "arxiv",
    "version": 3
  }
}