Pith Number

pith:MG5BC7NF

pith:2017:MG5BC7NFBH7FVOHRQPZ7POTHQH

not attested not anchored not stored refs pending

Non-concavity of Robin eigenfunctions

Ben Andrews, Daniel Hauer, Julie Clutterbuck

arxiv:1711.02779 v2 · 2017-11-08 · math.AP · 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{MG5BC7NFBH7FVOHRQPZ7POTHQH}

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	2026-05-18T00:22:57.942990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ba117da509fe5ab8f183f3f7ba6781e3484d3a57a149243f79793b8a580449

Aliases

arxiv: 1711.02779 · arxiv_version: 1711.02779v2 · doi: 10.48550/arxiv.1711.02779 · pith_short_12: MG5BC7NFBH7F · pith_short_16: MG5BC7NFBH7FVOHR · pith_short_8: MG5BC7NF

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/MG5BC7NFBH7FVOHRQPZ7POTHQH \
  | 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: 61ba117da509fe5ab8f183f3f7ba6781e3484d3a57a149243f79793b8a580449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb20a4e59a80848b58ada2f213b6681564ab0a7a13a2de81f7972d63ab6b2ec",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-08T00:38:32Z",
    "title_canon_sha256": "50fde0495f3d1c5ee08099d1abd52812314e50d4289739e1b0140e4d4948b0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02779",
    "kind": "arxiv",
    "version": 2
  }
}