Pith Number

pith:QTNCWCLL

pith:2013:QTNCWCLLE6YNTTKY6NYNXVOZPJ

not attested not anchored not stored refs pending

Breakdown of effective phonon theory in one-dimensional chains with asymmetric interactions

Hong Zhao, Jiao Wang, Shunda Chen, Yong Zhang

arxiv:1301.2838 v1 · 2013-01-14 · cond-mat.stat-mech · cond-mat.mes-hall · physics.class-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTNCWCLLE6YNTTKY6NYNXVOZPJ}

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	2026-05-18T03:36:35.027991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84da2b096b27b0d9cd58f370dbd5d97a4c921971932421f10e4c59a7463a9800

Aliases

arxiv: 1301.2838 · arxiv_version: 1301.2838v1 · doi: 10.48550/arxiv.1301.2838 · pith_short_12: QTNCWCLLE6YN · pith_short_16: QTNCWCLLE6YNTTKY · pith_short_8: QTNCWCLL

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/QTNCWCLLE6YNTTKY6NYNXVOZPJ \
  | 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: 84da2b096b27b0d9cd58f370dbd5d97a4c921971932421f10e4c59a7463a9800

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eddbfc46497702efc43c105e2a065de83fd2e384f8ea0ba6ab4e10deb7f8b5c",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "physics.class-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-01-14T01:18:11Z",
    "title_canon_sha256": "86f391a498ea27e83cae39d806cbad3e6e715142fa73d1a8ade2e1d5e9ef9459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2838",
    "kind": "arxiv",
    "version": 1
  }
}