Pith Number

pith:5OG3CWFR

pith:2017:5OG3CWFRD6OKBFH2V4QMQLPB4M

not attested not anchored not stored refs pending

Code loops in dimension at most 8

E.A. O'Brien, Petr Vojt\v{e}chovsk\'y

arxiv:1712.06524 v1 · 2017-12-18 · 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{5OG3CWFRD6OKBFH2V4QMQLPB4M}

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	2026-05-18T00:27:47.633747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8db158b11f9ca094faaf20c82de1e30fc8de58cfca4503a1562a941753a38b

Aliases

arxiv: 1712.06524 · arxiv_version: 1712.06524v1 · doi: 10.48550/arxiv.1712.06524 · pith_short_12: 5OG3CWFRD6OK · pith_short_16: 5OG3CWFRD6OKBFH2 · pith_short_8: 5OG3CWFR

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/5OG3CWFRD6OKBFH2V4QMQLPB4M \
  | 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: eb8db158b11f9ca094faaf20c82de1e30fc8de58cfca4503a1562a941753a38b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b85304c8fb93b6350d2b9d9f38f530291587f66a8c996347e33e027d4cd2a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-18T17:03:00Z",
    "title_canon_sha256": "05c2c83f5382a0c02b44308aaa7bd03f6d658683d60aebb6722c632a9303aba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06524",
    "kind": "arxiv",
    "version": 1
  }
}