Pith Number

pith:4EEYVZ6U

pith:2014:4EEYVZ6UWA4APURTC2VK7F3FXA

not attested not anchored not stored refs pending

On the minimization of Dirichlet eigenvalues

M. van den Berg

arxiv:1405.0127 v2 · 2014-05-01 · math.SP · 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{4EEYVZ6UWA4APURTC2VK7F3FXA}

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	2026-05-18T00:47:38.433676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1098ae7d4b03807d23316aaaf9765b83751ca36ae34817b65740c80cc87f68d

Aliases

arxiv: 1405.0127 · arxiv_version: 1405.0127v2 · doi: 10.48550/arxiv.1405.0127 · pith_short_12: 4EEYVZ6UWA4A · pith_short_16: 4EEYVZ6UWA4APURT · pith_short_8: 4EEYVZ6U

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/4EEYVZ6UWA4APURTC2VK7F3FXA \
  | 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: e1098ae7d4b03807d23316aaaf9765b83751ca36ae34817b65740c80cc87f68d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9728b85df462e83525c83bdd9db1aaa05f82a350518e882c1e0a51bd603b5358",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-05-01T10:35:23Z",
    "title_canon_sha256": "65eeaa6dbd5fca099e3b4d2694073a0961c47c0b758ce3efd12f542dd5d95193"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0127",
    "kind": "arxiv",
    "version": 2
  }
}