Pith Number

pith:PO4TIP7R

pith:2015:PO4TIP7RDZS4ZRGUGWQVBZW4NG

not attested not anchored not stored refs pending

Counterexample to a conjecture about braces

David Bachiller

arxiv:1507.02137 v2 · 2015-07-08 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PO4TIP7RDZS4ZRGUGWQVBZW4NG}

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	2026-05-18T01:36:25.356256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb9343ff11e65ccc4d435a150e6dc69a64a4200609bbc188ad968c59ba0d47c

Aliases

arxiv: 1507.02137 · arxiv_version: 1507.02137v2 · doi: 10.48550/arxiv.1507.02137 · pith_short_12: PO4TIP7RDZS4 · pith_short_16: PO4TIP7RDZS4ZRGU · pith_short_8: PO4TIP7R

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/PO4TIP7RDZS4ZRGUGWQVBZW4NG \
  | 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: 7bb9343ff11e65ccc4d435a150e6dc69a64a4200609bbc188ad968c59ba0d47c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ca7508ff13a350b27459a441b63ca8e5df7c2718aa331c417616f1e792cbc5",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-08T13:04:27Z",
    "title_canon_sha256": "07402f246211bfbb7cb37e7e7ef6a1bf3fc9fdb68d81824f4392814163c87797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02137",
    "kind": "arxiv",
    "version": 2
  }
}