Pith Number

pith:RBTPBSN2

pith:2017:RBTPBSN2BSIB552GASVXU7H6CV

not attested not anchored not stored refs pending

Quotients of $S^2\times{S^2}$

Ian Hambleton, Jonathan A. Hillman

arxiv:1712.04572 v3 · 2017-12-13 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBTPBSN2BSIB552GASVXU7H6CV}

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	2026-05-18T02:45:20.873451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8866f0c9ba0c901ef74604ab7a7cfe157fa64b71a5271bcad098042bd5bba570

Aliases

arxiv: 1712.04572 · arxiv_version: 1712.04572v3 · doi: 10.48550/arxiv.1712.04572 · pith_short_12: RBTPBSN2BSIB · pith_short_16: RBTPBSN2BSIB552G · pith_short_8: RBTPBSN2

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/RBTPBSN2BSIB552GASVXU7H6CV \
  | 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: 8866f0c9ba0c901ef74604ab7a7cfe157fa64b71a5271bcad098042bd5bba570

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3733ffce0a2e1aa9525645f8ee3b2b74de58d8e34c3915d34c6b00f7d7f1c00e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-13T00:03:05Z",
    "title_canon_sha256": "2bf63ddb9c42660c8c05d5a79390ef830b0b6a3a885eb95c9c5b6052da0ce180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04572",
    "kind": "arxiv",
    "version": 3
  }
}