Pith Number

pith:CDIG3YKQ

pith:2018:CDIG3YKQPGH7RV6FYGPN46ZJ4X

not attested not anchored not stored refs pending

Lattices With Internal Resonator Defects

A. Vainchtein, D. Mei, E.G. Charalampidis, E. Kim, J. Yang, P.G. Kevrekidis, S. Hauver, X. He

arxiv:1804.04733 v2 · 2018-04-12 · 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{CDIG3YKQPGH7RV6FYGPN46ZJ4X}

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	2026-05-18T00:05:56.180629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10d06de150798ff8d7c5c19ede7b29e5f394faa12014262783fcce8d4c89b4dd

Aliases

arxiv: 1804.04733 · arxiv_version: 1804.04733v2 · doi: 10.48550/arxiv.1804.04733 · pith_short_12: CDIG3YKQPGH7 · pith_short_16: CDIG3YKQPGH7RV6F · pith_short_8: CDIG3YKQ

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/CDIG3YKQPGH7RV6FYGPN46ZJ4X \
  | 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: 10d06de150798ff8d7c5c19ede7b29e5f394faa12014262783fcce8d4c89b4dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06d2418c0a7a0a4a8f703e774ab58d2b937f5093d0b38f4d4bf475dcfad23c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2018-04-12T21:22:57Z",
    "title_canon_sha256": "b213e2b3a1ad55df7722d719144f6aba204f1ba9ec7a66402d3968de027ba903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04733",
    "kind": "arxiv",
    "version": 2
  }
}