Pith Number

pith:RMXJOJRQ

pith:2011:RMXJOJRQL22G4SC6GZ4PPW3IIJ

not attested not anchored not stored refs pending

Oscillations and concentrations up to the boundary

Martin Kru\v{z}\'ik, Stefan Kr\"omer

arxiv:1109.3020 v1 · 2011-09-14 · 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{RMXJOJRQL22G4SC6GZ4PPW3IIJ}

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	2026-05-18T04:13:06.476266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2e9726305eb46e485e3678f7db68424dd8a746d7cf5178d41d7520a60e2882

Aliases

arxiv: 1109.3020 · arxiv_version: 1109.3020v1 · doi: 10.48550/arxiv.1109.3020 · pith_short_12: RMXJOJRQL22G · pith_short_16: RMXJOJRQL22G4SC6 · pith_short_8: RMXJOJRQ

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/RMXJOJRQL22G4SC6GZ4PPW3IIJ \
  | 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: 8b2e9726305eb46e485e3678f7db68424dd8a746d7cf5178d41d7520a60e2882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d79c8be7f8219f2f058e9f928b998e051a55d78580af584c021c84579c94d31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-14T08:46:35Z",
    "title_canon_sha256": "ef5f013a3534438b4e5d6278fe2e2e51737ccc409843eda095d453afa7cda24c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3020",
    "kind": "arxiv",
    "version": 1
  }
}