Pith Number

pith:3R7Z3VBS

pith:2017:3R7Z3VBSU54DN6AVXA32NL23XU

not attested not anchored not stored refs pending

Presentations for subsemigroups of $PD_n$

Abdullahi Umar

arxiv:1702.02788 v1 · 2017-02-09 · 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{3R7Z3VBSU54DN6AVXA32NL23XU}

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	2026-05-18T00:51:02.503287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc7f9dd432a77836f815b837a6af5bbd0ba6e326ee49fe55d2998d9a70157bad

Aliases

arxiv: 1702.02788 · arxiv_version: 1702.02788v1 · doi: 10.48550/arxiv.1702.02788 · pith_short_12: 3R7Z3VBSU54D · pith_short_16: 3R7Z3VBSU54DN6AV · pith_short_8: 3R7Z3VBS

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/3R7Z3VBSU54DN6AVXA32NL23XU \
  | 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: dc7f9dd432a77836f815b837a6af5bbd0ba6e326ee49fe55d2998d9a70157bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b434ce1a832405f7275cb2e9a34031179bbf9d26bbe25ec23e64ad37aab65fa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-02-09T11:33:32Z",
    "title_canon_sha256": "363e4f7c03ddb4c190c992caacdd211152090f41dbde7a509a7752768ee54c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02788",
    "kind": "arxiv",
    "version": 1
  }
}