Pith Number

pith:HAJOJTML

pith:2014:HAJOJTMLQ6UYKIOIZJPFN7474W

not attested not anchored not stored refs pending

KAM for the nonlinear beam equation 1: small-amplitude solutions

Benoit Grebert, Hakan L. Eliasson, Sergei B. Kuksin

arxiv:1412.2803 v3 · 2014-12-08 · 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{HAJOJTMLQ6UYKIOIZJPFN7474W}

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	2026-05-18T01:24:33.226627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3812e4cd8b87a98521c8ca5e56ff9fe5aa2013b55c73c1c4cc53a98a02ee8ee8

Aliases

arxiv: 1412.2803 · arxiv_version: 1412.2803v3 · doi: 10.48550/arxiv.1412.2803 · pith_short_12: HAJOJTMLQ6UY · pith_short_16: HAJOJTMLQ6UYKIOI · pith_short_8: HAJOJTML

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/HAJOJTMLQ6UYKIOIZJPFN7474W \
  | 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: 3812e4cd8b87a98521c8ca5e56ff9fe5aa2013b55c73c1c4cc53a98a02ee8ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e20594f7341490373bf7a729730c45800ce8ace4f3af9a8ffe231743b83d0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-08T22:29:08Z",
    "title_canon_sha256": "4d9082646522995633c9e74d4949a0781e2368b4b543824acdf7e236982e607a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2803",
    "kind": "arxiv",
    "version": 3
  }
}