Pith Number

pith:WLH4SSVT

pith:2012:WLH4SSVTGNHCXU67X7DQ43WWMU

not attested not anchored not stored refs pending

Dark Breathers in Granular Crystals

C. Chong, Chiara Daraio, G. Theocharis, P.G. Kevrekidis

arxiv:1210.5173 v1 · 2012-10-18 · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLH4SSVTGNHCXU67X7DQ43WWMU}

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	2026-05-18T01:53:46.471377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2cfc94ab3334e2bd3dfbfc70e6ed6652abe15dd6dc8a494108278b85abbeb33

Aliases

arxiv: 1210.5173 · arxiv_version: 1210.5173v1 · doi: 10.48550/arxiv.1210.5173 · pith_short_12: WLH4SSVTGNHC · pith_short_16: WLH4SSVTGNHCXU67 · pith_short_8: WLH4SSVT

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/WLH4SSVTGNHCXU67X7DQ43WWMU \
  | 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: b2cfc94ab3334e2bd3dfbfc70e6ed6652abe15dd6dc8a494108278b85abbeb33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292fbe10234c4d98f510e7d050a1533cfce4a0c7159e5ef0c85c5ba71eec6216",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-10-18T16:23:12Z",
    "title_canon_sha256": "f2dd7465e47ba8902a5c7d48cbbdff9c3238cc595a582134ce6389da471b7910"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5173",
    "kind": "arxiv",
    "version": 1
  }
}