Pith Number

pith:BLSHZVF3

pith:2012:BLSHZVF3DQVTT56T46HORURSFK

not attested not anchored not stored refs pending

One Relator Quotients of Graph Products

Aditi Kar, Yago Antolin

arxiv:1204.5311 v2 · 2012-04-24 · 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{BLSHZVF3DQVTT56T46HORURSFK}

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	2026-05-18T03:20:56.915094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ae47cd4bb1c2b39f7d3e78ee8d2322a88d7dd262f9790a88615f2bcb070c6ab

Aliases

arxiv: 1204.5311 · arxiv_version: 1204.5311v2 · doi: 10.48550/arxiv.1204.5311 · pith_short_12: BLSHZVF3DQVT · pith_short_16: BLSHZVF3DQVTT56T · pith_short_8: BLSHZVF3

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/BLSHZVF3DQVTT56T46HORURSFK \
  | 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: 0ae47cd4bb1c2b39f7d3e78ee8d2322a88d7dd262f9790a88615f2bcb070c6ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a901110fc4290ce52b02b0bdb86ddb41326448c01c9f8a4a064a5cfa44f987e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-24T09:00:01Z",
    "title_canon_sha256": "e13ae6d21354d29007658a14b8883a0bd8cdff6fe843a6fa58f8f7f2ba893318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5311",
    "kind": "arxiv",
    "version": 2
  }
}