Pith Number

pith:LFQ4CW3R

pith:2018:LFQ4CW3RSVA5NP2SA7TC32WNXD

not attested not anchored not stored refs pending

Zero is a resonance of every Schottky surface

Alexander Adam, Alexander Wei{\ss}e, Anke Pohl

arxiv:1808.09239 v1 · 2018-08-28 · 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{LFQ4CW3RSVA5NP2SA7TC32WNXD}

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	2026-05-18T00:07:01.956055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5961c15b719541d6bf5207e62deacdb8eb13b251087641d332f77aba795074ac

Aliases

arxiv: 1808.09239 · arxiv_version: 1808.09239v1 · doi: 10.48550/arxiv.1808.09239 · pith_short_12: LFQ4CW3RSVA5 · pith_short_16: LFQ4CW3RSVA5NP2S · pith_short_8: LFQ4CW3R

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/LFQ4CW3RSVA5NP2SA7TC32WNXD \
  | 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: 5961c15b719541d6bf5207e62deacdb8eb13b251087641d332f77aba795074ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5864a9b57ec213ab3ce484a421deb959a517c2c2919bb10431beca6f7ef38b71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-08-28T12:02:37Z",
    "title_canon_sha256": "1c3e082cd005e221b4e64827b4e226dc6a8c1b1c3541eca5895c5d3df5a296ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09239",
    "kind": "arxiv",
    "version": 1
  }
}