Pith Number

pith:VDFI4GLL

pith:2016:VDFI4GLLFGUDXK24BBDRKA7VFD

not attested not anchored not stored refs pending

An infinite family of strongly real Beauville $p$-groups

\c{S}\"ukran G\"ul

arxiv:1610.06080 v2 · 2016-10-19 · 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{VDFI4GLLFGUDXK24BBDRKA7VFD}

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	2026-05-18T01:01:44.082581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ca8e196b29a83bab5c08471503f528e1039680eb9350cdadf83917f04a5830

Aliases

arxiv: 1610.06080 · arxiv_version: 1610.06080v2 · doi: 10.48550/arxiv.1610.06080 · pith_short_12: VDFI4GLLFGUD · pith_short_16: VDFI4GLLFGUDXK24 · pith_short_8: VDFI4GLL

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/VDFI4GLLFGUDXK24BBDRKA7VFD \
  | 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: a8ca8e196b29a83bab5c08471503f528e1039680eb9350cdadf83917f04a5830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6c488297ed038d4a685cbe471288797f370b8ccf37d681ba59cf149724d6fdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-19T16:00:53Z",
    "title_canon_sha256": "3e8c1ba16f845a37808ebf7e92d7a0cd0a2eef9d107f5e8bc5726d169374f8b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06080",
    "kind": "arxiv",
    "version": 2
  }
}