Pith Number

pith:LJO6DHT6

pith:2016:LJO6DHT6KIULLWHSLNK2JCXWL7

not attested not anchored not stored refs pending

A new test for asphericity and diagrammatic reducibility of group presentations

Elias Gabriel Minian, Jonathan Ariel Barmak

arxiv:1601.00604 v2 · 2016-01-04 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJO6DHT6KIULLWHSLNK2JCXWL7}

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	2026-05-18T01:03:11.988903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a5de19e7e5228b5d8f25b55a48af65fdc84b2ceb9984da2b43c8a3759031070

Aliases

arxiv: 1601.00604 · arxiv_version: 1601.00604v2 · doi: 10.48550/arxiv.1601.00604 · pith_short_12: LJO6DHT6KIUL · pith_short_16: LJO6DHT6KIULLWHS · pith_short_8: LJO6DHT6

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/LJO6DHT6KIULLWHSLNK2JCXWL7 \
  | 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: 5a5de19e7e5228b5d8f25b55a48af65fdc84b2ceb9984da2b43c8a3759031070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a50a5ea400833327c59b2a54c05332810a0a9c0b33bfade4ed29e94a36f8c00d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-04T18:48:42Z",
    "title_canon_sha256": "801746ebfc782ffb10d014e5466ae631bedfff4fa665119609104c5b15490639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00604",
    "kind": "arxiv",
    "version": 2
  }
}