Pith Number

pith:HVTAAZHX

pith:2011:HVTAAZHX4HD645FUAO6BZO3WLK

not attested not anchored not stored refs pending

Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises

Cedric Bernardin (UMPA-ENSL), Jani Lukkarinen, Joel L. Lebowitz, Venkateshan Kannan

arxiv:1109.1993 v2 · 2011-09-09 · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVTAAZHX4HD645FUAO6BZO3WLK}

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	2026-05-18T02:00:37.264459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d660064f7e1c7ee74b403bc1cbb765aab145cc3305b567097856295ffe5e795

Aliases

arxiv: 1109.1993 · arxiv_version: 1109.1993v2 · doi: 10.48550/arxiv.1109.1993 · pith_short_12: HVTAAZHX4HD6 · pith_short_16: HVTAAZHX4HD645FU · pith_short_8: HVTAAZHX

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/HVTAAZHX4HD645FUAO6BZO3WLK \
  | 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: 3d660064f7e1c7ee74b403bc1cbb765aab145cc3305b567097856295ffe5e795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f923cc9e15a27be075e83a1d0491004007ad73c01d7b82b33ea0576760d128",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-09-09T13:03:21Z",
    "title_canon_sha256": "3e1077ff218fcafd0ead5e47a76e16c4abdb3bf0fcc7297c4707c7f7f0511419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1993",
    "kind": "arxiv",
    "version": 2
  }
}