Pith Number

pith:YJGSBHBS

pith:2015:YJGSBHBSBVZ64BNW64KQ4YBQJW

not attested not anchored not stored refs pending

Identifying lens spaces in polynomial time

Greg Kuperberg (UC Davis)

arxiv:1509.02887 v2 · 2015-09-09 · math.GT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YJGSBHBSBVZ64BNW64KQ4YBQJW}

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	2026-05-18T00:21:00.245011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24d209c320d73ee05b6f7150e60304da9ad2c6ac908b2f5145eb7a575590b99

Aliases

arxiv: 1509.02887 · arxiv_version: 1509.02887v2 · doi: 10.48550/arxiv.1509.02887 · pith_short_12: YJGSBHBSBVZ6 · pith_short_16: YJGSBHBSBVZ64BNW · pith_short_8: YJGSBHBS

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/YJGSBHBSBVZ64BNW64KQ4YBQJW \
  | 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: c24d209c320d73ee05b6f7150e60304da9ad2c6ac908b2f5145eb7a575590b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b463f20ea31adae446b6150c23a9e89b6bb1cda4051fb2052a8b00be8dbee692",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-09T19:01:59Z",
    "title_canon_sha256": "3d0c084870c2c48f3873fe2732c5c23e28c11984e8e0bc17256948fccd3821d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02887",
    "kind": "arxiv",
    "version": 2
  }
}