Pith Number

pith:DMX6O7D4

pith:2015:DMX6O7D4R2IJ3T7QJW5PKJZZAO

not attested not anchored not stored refs pending

Lower resolvent bounds and Lyapunov exponents

Alden Waters, Semyon Dyatlov

arxiv:1508.04051 v2 · 2015-08-17 · math.AP · 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{DMX6O7D4R2IJ3T7QJW5PKJZZAO}

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	2026-05-18T01:15:36.156933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b2fe77c7c8e909dcff04dbaf527390390f4d5cdb4c41a885fa44908a7c5455e

Aliases

arxiv: 1508.04051 · arxiv_version: 1508.04051v2 · doi: 10.48550/arxiv.1508.04051 · pith_short_12: DMX6O7D4R2IJ · pith_short_16: DMX6O7D4R2IJ3T7Q · pith_short_8: DMX6O7D4

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/DMX6O7D4R2IJ3T7QJW5PKJZZAO \
  | 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: 1b2fe77c7c8e909dcff04dbaf527390390f4d5cdb4c41a885fa44908a7c5455e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6092e6a715b467ee572742f0a2aa346e094f5ab6041fa8e5d598b00f95b742a",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-17T15:14:07Z",
    "title_canon_sha256": "a393d57da32580b23601375e6c62578c0daf960badf08efb023e473694dd759c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04051",
    "kind": "arxiv",
    "version": 2
  }
}