Pith Number

pith:LTYRZKDC

pith:2015:LTYRZKDC22RYNS7C466TLHZ2HG

not attested not anchored not stored refs pending

Averaging principle and periodic solutions for nonlinear evolution equations at resonance

Piotr Kokocki

arxiv:1505.00158 v4 · 2015-05-01 · 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{LTYRZKDC22RYNS7C466TLHZ2HG}

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	2026-05-18T01:26:31.557980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf11ca862d6a386cbe2e7bd359f3a3992264d95f7c84b134a1c34947c09e80b

Aliases

arxiv: 1505.00158 · arxiv_version: 1505.00158v4 · doi: 10.48550/arxiv.1505.00158 · pith_short_12: LTYRZKDC22RY · pith_short_16: LTYRZKDC22RYNS7C · pith_short_8: LTYRZKDC

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/LTYRZKDC22RYNS7C466TLHZ2HG \
  | 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: 5cf11ca862d6a386cbe2e7bd359f3a3992264d95f7c84b134a1c34947c09e80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad000b063bea19c9c7ce6d850d019ab1207e41fe0b0961471f991366f8521c76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-01T11:24:41Z",
    "title_canon_sha256": "24db6a93870bb72e6a6d041b5b60d24c0810cd717773fa63de947fca76f21096"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00158",
    "kind": "arxiv",
    "version": 4
  }
}