Pith Number

pith:V22E3KVP

pith:2020:V22E3KVPWEVFWUY3CIBGPOAPAA

not attested not anchored not stored refs pending

Exponentially growing bulk Green functions as signature of nontrivial non-Hermitian winding number in one dimension

Bernd Rosenow, Heinrich-Gregor Zirnstein

arxiv:2007.07026 v1 · 2020-07-14 · cond-mat.mes-hall · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V22E3KVPWEVFWUY3CIBGPOAPAA}

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	2026-07-05T02:45:15.192167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb44daaafb12a5b531b120267b80f001c344c1cea83344143cb6ef0af4cfef1

Aliases

arxiv: 2007.07026 · arxiv_version: 2007.07026v1 · doi: 10.48550/arxiv.2007.07026 · pith_short_12: V22E3KVPWEVF · pith_short_16: V22E3KVPWEVFWUY3 · pith_short_8: V22E3KVP

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/V22E3KVPWEVFWUY3CIBGPOAPAA \
  | 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: aeb44daaafb12a5b531b120267b80f001c344c1cea83344143cb6ef0af4cfef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845a6f5cf6246c6cbe8cc3399d13d6e4245c1bd621b2418bcba88d5160cfab9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2020-07-14T13:33:11Z",
    "title_canon_sha256": "880e5d9ed879cd341e7b564672ae74f9ffa84c55613e5ece60fcc56e3403c22e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07026",
    "kind": "arxiv",
    "version": 1
  }
}