Pith Number

pith:7MNRCDJJ

pith:2019:7MNRCDJJIZF37U72JUHAD2IFLB

not attested not anchored not stored refs pending

A note on growth of hyperbolic groups

Motiejus Valiunas

arxiv:1901.10321 v2 · 2019-01-29 · 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{7MNRCDJJIZF37U72JUHAD2IFLB}

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	2026-05-17T23:54:02.144073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1b110d29464bbfd3fa4d0e01e9055862e51517c0dbcfeef1f3f7901f883924

Aliases

arxiv: 1901.10321 · arxiv_version: 1901.10321v2 · doi: 10.48550/arxiv.1901.10321 · pith_short_12: 7MNRCDJJIZF3 · pith_short_16: 7MNRCDJJIZF37U72 · pith_short_8: 7MNRCDJJ

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/7MNRCDJJIZF37U72JUHAD2IFLB \
  | 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: fb1b110d29464bbfd3fa4d0e01e9055862e51517c0dbcfeef1f3f7901f883924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6ae5d6c42490e8b0bf6cf1649433fa63d33c83dd875404f4b84482c817fafdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-29T14:50:33Z",
    "title_canon_sha256": "519798b98ba0e7ad7b91a2f5c7f2bc963ae83046a58eabb10445143e52c15afa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10321",
    "kind": "arxiv",
    "version": 2
  }
}