Pith Number

pith:MOZM2LDO

pith:2026:MOZM2LDODACJE5NXZT4QWFMZUK

not attested not anchored not stored refs pending

Hexagonal Stacking Maximizes Proton Configurational Entropy among Ice-I Polytypes

Sheng Ran, Zhengyue Chen

arxiv:2608.07613 v1 · 2026-08-06 · cond-mat.stat-mech · 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{MOZM2LDODACJE5NXZT4QWFMZUK}

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	2026-08-11T00:15:29.490347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63b2cd2c6e18049275b7ccf90b1599a2bffe1040b994501b563101de31c6206e

Aliases

arxiv: 2608.07613 · arxiv_version: 2608.07613v1 · doi: 10.48550/arxiv.2608.07613 · pith_short_12: MOZM2LDODACJ · pith_short_16: MOZM2LDODACJE5NX · pith_short_8: MOZM2LDO

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/MOZM2LDODACJE5NXZT4QWFMZUK \
  | 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: 63b2cd2c6e18049275b7ccf90b1599a2bffe1040b994501b563101de31c6206e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec19f6b4b22d6bb2b2de40a4d4313fc698de985d51aca053a6aace910f4c17c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-08-06T23:52:16Z",
    "title_canon_sha256": "8a2ba4bffa7db4870c0afbb28c04ac83cc87aebb7a0b4f0b651fb2a0e47275f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07613",
    "kind": "arxiv",
    "version": 1
  }
}