Pith Number

pith:HPNO3DLJ

pith:2018:HPNO3DLJSRFLV2AJUN52V5O2J4

not attested not anchored not stored refs pending

Equilibrium States, Phase Transitions and Dynamics in Quantum Anharmonic Crystals

Yuri Kozitsky

arxiv:1806.08264 v1 · 2018-06-21 · 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{HPNO3DLJSRFLV2AJUN52V5O2J4}

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	2026-05-18T00:12:41.558165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdaed8d69944abae809a37baaf5da4f16606caf2b084e8fb4f9e97bc693d994

Aliases

arxiv: 1806.08264 · arxiv_version: 1806.08264v1 · doi: 10.48550/arxiv.1806.08264 · pith_short_12: HPNO3DLJSRFL · pith_short_16: HPNO3DLJSRFLV2AJ · pith_short_8: HPNO3DLJ

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/HPNO3DLJSRFLV2AJUN52V5O2J4 \
  | 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: 3bdaed8d69944abae809a37baaf5da4f16606caf2b084e8fb4f9e97bc693d994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59c4deb4ee5e97a97eb4de55df0e0d8cf3867dc53ec0230938d730f3e5de433c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-06-21T14:24:23Z",
    "title_canon_sha256": "ae13aa941b8a09241f4aacf778770f38610d5891b53c3ddd8f74f01af2d7b468"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08264",
    "kind": "arxiv",
    "version": 1
  }
}