Pith Number

pith:ZMR24KEJ

pith:2010:ZMR24KEJNYE26MUQXYJQDLVIJC

not attested not anchored not stored refs pending

Limiting phase trajectories and the origin of energy localization in nonlinear oscillatory chains

L.I. Manevitch, V.V. Smirnov

arxiv:1006.1854 v1 · 2010-06-09 · nlin.PS · 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{ZMR24KEJNYE26MUQXYJQDLVIJC}

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	2026-05-18T02:06:55.443431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb23ae28896e09af3290be1301aea848b9c31f20f2c72c374d6076fa5a2fbea7

Aliases

arxiv: 1006.1854 · arxiv_version: 1006.1854v1 · doi: 10.48550/arxiv.1006.1854 · pith_short_12: ZMR24KEJNYE2 · pith_short_16: ZMR24KEJNYE26MUQ · pith_short_8: ZMR24KEJ

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/ZMR24KEJNYE26MUQXYJQDLVIJC \
  | 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: cb23ae28896e09af3290be1301aea848b9c31f20f2c72c374d6076fa5a2fbea7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a0c6577d9849b7be97b4a24970ab48d3f41ce9288615c3d16d8670892c02d36",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2010-06-09T16:39:16Z",
    "title_canon_sha256": "025acede45e7b342f103805824944e46f26044e2740e2726f0081d072cbc7aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1854",
    "kind": "arxiv",
    "version": 1
  }
}