Pith Number

pith:XYI45X5M

pith:2012:XYI45X5MUZHVHKV3MZIUIAEIG5

not attested not anchored not stored refs pending

Global estimates of resonances for 1D Dirac operators

Evgeny Korotyaev

arxiv:1211.0714 v1 · 2012-11-04 · 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{XYI45X5MUZHVHKV3MZIUIAEIG5}

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	2026-05-18T01:53:26.141104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be11cedfaca64f53aabb6651440088376149fa75645a1561a9c91ebe4e56dcc1

Aliases

arxiv: 1211.0714 · arxiv_version: 1211.0714v1 · doi: 10.48550/arxiv.1211.0714 · pith_short_12: XYI45X5MUZHV · pith_short_16: XYI45X5MUZHVHKV3 · pith_short_8: XYI45X5M

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/XYI45X5MUZHVHKV3MZIUIAEIG5 \
  | 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: be11cedfaca64f53aabb6651440088376149fa75645a1561a9c91ebe4e56dcc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ce2a65fab38571792c04e78869861174ef6beb6e7c29eaaf69a590af87a35a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-11-04T19:41:13Z",
    "title_canon_sha256": "19ef1a6205ebf27f336583403393c38e32daa6dd8df13f9e4642fa9d5b53e0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0714",
    "kind": "arxiv",
    "version": 1
  }
}