Pith Number

pith:4QHN2OQO

pith:2014:4QHN2OQOUNOGE7VLGV73Q2QT2J

not attested not anchored not stored refs pending

Spectral-Variation Bounds in Hyperbolic Geometry

Alexander M\"uller-Hermes, Oleg Szehr

arxiv:1405.4031 v2 · 2014-05-15 · math.NA · 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{4QHN2OQOUNOGE7VLGV73Q2QT2J}

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	2026-05-18T01:24:04.342942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40edd3a0ea35c627eab357fb86a13d248030b43e8aa27dae25f2664e02770da

Aliases

arxiv: 1405.4031 · arxiv_version: 1405.4031v2 · doi: 10.48550/arxiv.1405.4031 · pith_short_12: 4QHN2OQOUNOG · pith_short_16: 4QHN2OQOUNOGE7VL · pith_short_8: 4QHN2OQO

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/4QHN2OQOUNOGE7VLGV73Q2QT2J \
  | 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: e40edd3a0ea35c627eab357fb86a13d248030b43e8aa27dae25f2664e02770da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469e2b2b4c4fc715cf4636752855b7a79368abb4c2ed83cb481ff5a3e826176c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-05-15T22:40:29Z",
    "title_canon_sha256": "c0f5c35135d4ee7751e698dd21c890f8cf1a1903fecb377034367a35e468ef66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4031",
    "kind": "arxiv",
    "version": 2
  }
}