Pith Number

pith:KOVF6DV7

pith:2015:KOVF6DV772R3ZBGQLQV3EPPGGN

not attested not anchored not stored refs pending

Optimal distribution of oppositely charged phases: perfect screening and other properties

Hans Kn\"upfer, Marco Bonacini, Matthias R\"oger

arxiv:1506.02831 v1 · 2015-06-09 · 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{KOVF6DV772R3ZBGQLQV3EPPGGN}

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	2026-05-18T01:55:40.791581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53aa5f0ebffea3bc84d05c2bb23de63345bf6ef73b616dad16c8fc90dd0c6173

Aliases

arxiv: 1506.02831 · arxiv_version: 1506.02831v1 · doi: 10.48550/arxiv.1506.02831 · pith_short_12: KOVF6DV772R3 · pith_short_16: KOVF6DV772R3ZBGQ · pith_short_8: KOVF6DV7

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/KOVF6DV772R3ZBGQLQV3EPPGGN \
  | 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: 53aa5f0ebffea3bc84d05c2bb23de63345bf6ef73b616dad16c8fc90dd0c6173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c401a907a9d8fc529b234bf0b78f4a47ae82e07203afbc66f15377ee833f9cac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-09T09:23:28Z",
    "title_canon_sha256": "22d023aa159b9ef55b9fe8e0ec24aca146c25d2deddb156d9084dc787beb708a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02831",
    "kind": "arxiv",
    "version": 1
  }
}