Pith Number

pith:MYYGQEIZ

pith:2011:MYYGQEIZSTDXBBQCUZG2JJA3TC

not attested not anchored not stored refs pending

Exact values of complexity for Paoluzzi - Zimmermann manifolds

Andrei Vesnin, Evgeny Fominykh

arxiv:1105.2542 v1 · 2011-05-12 · 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{MYYGQEIZSTDXBBQCUZG2JJA3TC}

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	2026-05-18T04:22:10.456672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663068111994c7708602a64da4a41b98ac22c4b29c41a193ecb8c3fea13c150b

Aliases

arxiv: 1105.2542 · arxiv_version: 1105.2542v1 · doi: 10.48550/arxiv.1105.2542 · pith_short_12: MYYGQEIZSTDX · pith_short_16: MYYGQEIZSTDXBBQC · pith_short_8: MYYGQEIZ

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/MYYGQEIZSTDXBBQCUZG2JJA3TC \
  | 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: 663068111994c7708602a64da4a41b98ac22c4b29c41a193ecb8c3fea13c150b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38586e6d742bef361334c1957d037834fd204856dcba267570b6b05f9f9564ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-12T18:16:32Z",
    "title_canon_sha256": "f3c275459adece85f7f5816c44064d40c7c60aa1380b8e7c0b182506c637f56c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2542",
    "kind": "arxiv",
    "version": 1
  }
}