Pith Number

pith:PZU7XQBT

pith:2008:PZU7XQBTKOPNWSTRSEIGYRRKRX

not attested not anchored not stored refs pending

Existence and uniqueness of constant mean curvature spheres in Sol_3

Benoit Daniel, Pablo Mira

arxiv:0812.3059 v2 · 2008-12-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZU7XQBTKOPNWSTRSEIGYRRKRX}

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	2026-05-18T02:59:30.955351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e69fbc033539edb4a7191106c462a8dd80b2e4b0d5109693be157fde7b1d5d5

Aliases

arxiv: 0812.3059 · arxiv_version: 0812.3059v2 · doi: 10.48550/arxiv.0812.3059 · pith_short_12: PZU7XQBTKOPN · pith_short_16: PZU7XQBTKOPNWSTR · pith_short_8: PZU7XQBT

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/PZU7XQBTKOPNWSTRSEIGYRRKRX \
  | 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: 7e69fbc033539edb4a7191106c462a8dd80b2e4b0d5109693be157fde7b1d5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3294a57acd0fdc4d0a0777488b737dc5f581b14f4286dcddce70e7cd18049d85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-12-16T14:03:15Z",
    "title_canon_sha256": "3734a55c27c3777ad0b77dc970a014b1733cca32e0b975e1894678ed28f04030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.3059",
    "kind": "arxiv",
    "version": 2
  }
}