Pith Number

pith:NDQSEKNJ

pith:2026:NDQSEKNJSFHWLEG6YXNMWQIIMR

not attested not anchored not stored refs pending

Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on $\mathbb{Z}^2$

Qidong He

arxiv:2607.10510 v1 · 2026-07-12 · math-ph · cond-mat.stat-mech · math.MP · 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{NDQSEKNJSFHWLEG6YXNMWQIIMR}

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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	2026-07-14T01:21:18.907901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68e12229a9914f6590dec5dacb4108646e9543ba1532843166c63f6af3d40440

Aliases

arxiv: 2607.10510 · arxiv_version: 2607.10510v1 · doi: 10.48550/arxiv.2607.10510 · pith_short_12: NDQSEKNJSFHW · pith_short_16: NDQSEKNJSFHWLEG6 · pith_short_8: NDQSEKNJ

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/NDQSEKNJSFHWLEG6YXNMWQIIMR \
  | 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: 68e12229a9914f6590dec5dacb4108646e9543ba1532843166c63f6af3d40440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2d0b542d37997323fbf262a5af5160d773ad8cb06dc228d7c5eb00a7e45cac",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-12T00:02:11Z",
    "title_canon_sha256": "0fc4c316342ea624ad935e4a964cace63ee53d565c7ae1ddcb655f3f1109f290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10510",
    "kind": "arxiv",
    "version": 1
  }
}