Pith Number

pith:GU6D7S7C

pith:2015:GU6D7S7CQNXMLNB4YEWMG5PAJP

not attested not anchored not stored refs pending

Manifolds admitting a continuous cancellative binary operation are orientable

Alex Ravsky, Igor Guran, Taras Banakh

arxiv:1503.08993 v1 · 2015-03-31 · math.GT · 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{GU6D7S7CQNXMLNB4YEWMG5PAJP}

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	2026-05-18T01:12:01.845520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353c3fcbe2836ec5b43cc12cc375e04bd911ad2d79f2b86e0bf5ef1f649cf30d

Aliases

arxiv: 1503.08993 · arxiv_version: 1503.08993v1 · doi: 10.48550/arxiv.1503.08993 · pith_short_12: GU6D7S7CQNXM · pith_short_16: GU6D7S7CQNXMLNB4 · pith_short_8: GU6D7S7C

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/GU6D7S7CQNXMLNB4YEWMG5PAJP \
  | 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: 353c3fcbe2836ec5b43cc12cc375e04bd911ad2d79f2b86e0bf5ef1f649cf30d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1aa10194dcdf5d53e5e76c4995ee1595e8c317df08cef55569a046d4f0fbd72",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-31T10:17:41Z",
    "title_canon_sha256": "a749d6d1a2a1f290a363a38eaf442519f3ee63b625c98eb618043e5b09346bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08993",
    "kind": "arxiv",
    "version": 1
  }
}