Pith Number

pith:DQUBA3A6

pith:2016:DQUBA3A6BTJ3C7XPFIES54QXXG

not attested not anchored not stored refs pending

Branch groups, orbit growth, and subgroup growth types for pro-$p$ groups

Jan-Christoph Schlage-Puchta, Yiftach Barnea

arxiv:1611.07177 v3 · 2016-11-22 · 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{DQUBA3A6BTJ3C7XPFIES54QXXG}

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	2026-05-18T00:05:51.489218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c28106c1e0cd3b17eef2a092ef217b98c9f3227fc057d50da7d8f808f011b14

Aliases

arxiv: 1611.07177 · arxiv_version: 1611.07177v3 · doi: 10.48550/arxiv.1611.07177 · pith_short_12: DQUBA3A6BTJ3 · pith_short_16: DQUBA3A6BTJ3C7XP · pith_short_8: DQUBA3A6

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/DQUBA3A6BTJ3C7XPFIES54QXXG \
  | 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: 1c28106c1e0cd3b17eef2a092ef217b98c9f3227fc057d50da7d8f808f011b14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc37f5f46a701c0510257edcfaac09323b0b054075aac572e82b233869ff5906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-22T07:41:05Z",
    "title_canon_sha256": "360120bc2a4633199db1cfc8d2aa107f2462992a400c9876fe6be624be127573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07177",
    "kind": "arxiv",
    "version": 3
  }
}