Pith Number

pith:MTX6I7UP

pith:2013:MTX6I7UP5CV6H7RLEYICF6DYG5

not attested not anchored not stored refs pending

Non-amenability of product replacement graphs

Anton Malyshev

arxiv:1305.2408 v1 · 2013-05-10 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTX6I7UP5CV6H7RLEYICF6DYG5}

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	2026-05-18T03:26:00.079970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64efe47e8fe8abe3fe2b261022f878375abbb469c0ef570af46d474cce83e7df

Aliases

arxiv: 1305.2408 · arxiv_version: 1305.2408v1 · doi: 10.48550/arxiv.1305.2408 · pith_short_12: MTX6I7UP5CV6 · pith_short_16: MTX6I7UP5CV6H7RL · pith_short_8: MTX6I7UP

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/MTX6I7UP5CV6H7RLEYICF6DYG5 \
  | 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: 64efe47e8fe8abe3fe2b261022f878375abbb469c0ef570af46d474cce83e7df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef09b43814dd63a9a3ac74cebd94c801fe841004ab18fcb5a83e24ddae9bf0f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-10T19:33:19Z",
    "title_canon_sha256": "66eb44312b79292079d26e529f9ecd65ef0e9ff74fd9acc5188ebd0bfdc3a44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2408",
    "kind": "arxiv",
    "version": 1
  }
}