Pith Number

pith:YVXB3WWO

pith:2011:YVXB3WWOSOXS55KQHYOAM5GCIU

not attested not anchored not stored refs pending

Small Covers, infra-solvmanifolds and curvature

Li Yu, Mikiya Masuda, Shintar\^o Kuroki

arxiv:1111.2174 v2 · 2011-11-09 · math.GT · math.AT · 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{YVXB3WWOSOXS55KQHYOAM5GCIU}

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	2026-05-18T00:22:49.520715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56e1ddace93af2ef5503e1c0674c245067790caedd47a4b137dc71299b12ada

Aliases

arxiv: 1111.2174 · arxiv_version: 1111.2174v2 · doi: 10.48550/arxiv.1111.2174 · pith_short_12: YVXB3WWOSOXS · pith_short_16: YVXB3WWOSOXS55KQ · pith_short_8: YVXB3WWO

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/YVXB3WWOSOXS55KQHYOAM5GCIU \
  | 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: c56e1ddace93af2ef5503e1c0674c245067790caedd47a4b137dc71299b12ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db04ed4553e4c692cf3b72d7671c1d7bdb342c952812cf356b52fde37349a20",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-11-09T11:24:59Z",
    "title_canon_sha256": "fcb2e2bf7652b9489d46e2d4c3b6169e60ceee5b2f12beefdbc4a9f349dd2503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2174",
    "kind": "arxiv",
    "version": 2
  }
}