Pith Number

pith:B5BI5MOO

pith:2011:B5BI5MOOYWSJAWHZNNK7RIFK5G

not attested not anchored not stored refs pending

Isometric embedding of negatively curved complete surfaces in Lorentz-Minkowski space

Bing-Long Chen, Le Yin

arxiv:1109.4211 v2 · 2011-09-20 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5BI5MOOYWSJAWHZNNK7RIFK5G}

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	2026-05-18T01:22:28.918065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f428eb1cec5a49058f96b55f8a0aae9a9f79ee4aa0b84ef26e68aa8ade7e2b5

Aliases

arxiv: 1109.4211 · arxiv_version: 1109.4211v2 · doi: 10.48550/arxiv.1109.4211 · pith_short_12: B5BI5MOOYWSJ · pith_short_16: B5BI5MOOYWSJAWHZ · pith_short_8: B5BI5MOO

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/B5BI5MOOYWSJAWHZNNK7RIFK5G \
  | 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: 0f428eb1cec5a49058f96b55f8a0aae9a9f79ee4aa0b84ef26e68aa8ade7e2b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e174213c5ff7cee6eb47c644774143513842eba584b50fd4ca69d4e060bb2a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-20T05:46:41Z",
    "title_canon_sha256": "edc6899dbf0dbabef934682be83e5b3f924a9f1fcce54c7ed506759533898c20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4211",
    "kind": "arxiv",
    "version": 2
  }
}