Pith Number

pith:72AHHQMB

pith:2011:72AHHQMBPPJPK7M7HLE7U2AJOX

not attested not anchored not stored refs pending

Non-equilibrium stationary state of a harmonic crystal with alternating masses

Abhishek Dhar, J. L. Lebowitz, Venkateshan Kannan

arxiv:1112.5918 v2 · 2011-12-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72AHHQMBPPJPK7M7HLE7U2AJOX}

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	2026-05-18T01:59:00.472985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8073c1817bd2f57d9f3ac9fa680975fbf6382e7a36caea18e9c101d5f2acc3

Aliases

arxiv: 1112.5918 · arxiv_version: 1112.5918v2 · doi: 10.48550/arxiv.1112.5918 · pith_short_12: 72AHHQMBPPJP · pith_short_16: 72AHHQMBPPJPK7M7 · pith_short_8: 72AHHQMB

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/72AHHQMBPPJPK7M7HLE7U2AJOX \
  | 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: fe8073c1817bd2f57d9f3ac9fa680975fbf6382e7a36caea18e9c101d5f2acc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d724e92b403309a1a31fc2f74c09016866d1c32c3f219ec55a5ebc025cabb818",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-27T04:11:36Z",
    "title_canon_sha256": "e1c1d6b9d832efe8044d0529d32c9ef39ef9747221d57c372b4a137592c3f5a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5918",
    "kind": "arxiv",
    "version": 2
  }
}