Pith Number

pith:PP2PX2ZY

pith:2015:PP2PX2ZYWK7K672G3FQXIJOYIC

not attested not anchored not stored refs pending

Dispersion relations of strained as well as complex Lieb lattices

Changbiao Li, Haixia Chen, Milivoj Beli\'c, Weiping Zhong, Yanpeng Zhang, Yiqi Zhang

arxiv:1501.00781 v2 · 2015-01-05 · physics.optics · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP2PX2ZYWK7K672G3FQXIJOYIC}

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	2026-05-18T01:14:53.321962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf4fbeb38b2beaf7f46d9617425d840ae56cb62b26b36a76a5caaba51f32aad

Aliases

arxiv: 1501.00781 · arxiv_version: 1501.00781v2 · doi: 10.48550/arxiv.1501.00781 · pith_short_12: PP2PX2ZYWK7K · pith_short_16: PP2PX2ZYWK7K672G · pith_short_8: PP2PX2ZY

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/PP2PX2ZYWK7K672G3FQXIJOYIC \
  | 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: 7bf4fbeb38b2beaf7f46d9617425d840ae56cb62b26b36a76a5caaba51f32aad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9da8e5ac0baf73550e164a44905b4f97e2e96f8ef79be947ea24921194ff10",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2015-01-05T08:27:30Z",
    "title_canon_sha256": "11cb02f7edb64a45d5af5a6be8aed8e98c82f8ab91adcdd9f2357f0a8d7a29e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00781",
    "kind": "arxiv",
    "version": 2
  }
}