Pith Number

pith:LEINE6TC

pith:2016:LEINE6TCEIP4MGFI5PQTSATQNA

not attested not anchored not stored refs pending

Manifolds with many hyperbolic planes

Benjamin Schmidt, Samuel Lin

arxiv:1612.02022 v2 · 2016-12-06 · 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{LEINE6TCEIP4MGFI5PQTSATQNA}

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	2026-05-18T00:48:09.380572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5910d27a62221fc618a8ebe139027068311cfdf3575eae4f0c1f377418f48e87

Aliases

arxiv: 1612.02022 · arxiv_version: 1612.02022v2 · doi: 10.48550/arxiv.1612.02022 · pith_short_12: LEINE6TCEIP4 · pith_short_16: LEINE6TCEIP4MGFI · pith_short_8: LEINE6TC

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/LEINE6TCEIP4MGFI5PQTSATQNA \
  | 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: 5910d27a62221fc618a8ebe139027068311cfdf3575eae4f0c1f377418f48e87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce7e964d3652eb63707d147293d3a83fb4d9a85c4dee59eb8218b32d41494456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-06T21:13:38Z",
    "title_canon_sha256": "f56b0a0f2f6f48d36844be945320ff210d8873359440908382e8aa5e7cced75c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02022",
    "kind": "arxiv",
    "version": 2
  }
}