Pith Number

pith:ID56MLSW

pith:2016:ID56MLSWWIUNNIRFAOPDGFHMK6

not attested not anchored not stored refs pending

Geometric and spectral consequences of curvature bounds on tessellations

Matthias Keller

arxiv:1612.08676 v1 · 2016-12-27 · math.MG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ID56MLSWWIUNNIRFAOPDGFHMK6}

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	2026-05-18T00:53:52.402401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40fbe62e56b228d6a225039e3314ec57931d8a6aef0eca7b1ac9dc12153ff8fd

Aliases

arxiv: 1612.08676 · arxiv_version: 1612.08676v1 · doi: 10.48550/arxiv.1612.08676 · pith_short_12: ID56MLSWWIUN · pith_short_16: ID56MLSWWIUNNIRF · pith_short_8: ID56MLSW

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/ID56MLSWWIUNNIRFAOPDGFHMK6 \
  | 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: 40fbe62e56b228d6a225039e3314ec57931d8a6aef0eca7b1ac9dc12153ff8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e34796e499f765792819b96ef7cab4b03d0fb02f3f6bca8d3c614dd295ea874",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-27T16:53:34Z",
    "title_canon_sha256": "11ad638dc3dfe88a0103a8d874e6750ab363f454528846c59b4e6fa8192f461b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08676",
    "kind": "arxiv",
    "version": 1
  }
}