Pith Number

pith:KTZHA6IB

pith:2017:KTZHA6IBU3GGDXOF3ZAOTCW7AS

not attested not anchored not stored refs pending

Isotropic-Nematic Phase Transitions in Gravitational Systems

Bence Kocsis, Scott Tremaine, Zacharias Roupas

arxiv:1701.03271 v2 · 2017-01-12 · astro-ph.GA · cond-mat.stat-mech · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTZHA6IBU3GGDXOF3ZAOTCW7AS}

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	2026-05-18T00:42:12.501697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54f2707901a6cc61ddc5de40e98adf04a6589c977d7fa9f2c3531b2c1b108e29

Aliases

arxiv: 1701.03271 · arxiv_version: 1701.03271v2 · doi: 10.48550/arxiv.1701.03271 · pith_short_12: KTZHA6IBU3GG · pith_short_16: KTZHA6IBU3GGDXOF · pith_short_8: KTZHA6IB

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/KTZHA6IBU3GGDXOF3ZAOTCW7AS \
  | 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: 54f2707901a6cc61ddc5de40e98adf04a6589c977d7fa9f2c3531b2c1b108e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d1eb48391af68e0f292e3ea21b1fc6b5129ebc3a7038f9c3ef7cb8fd86192b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2017-01-12T09:18:56Z",
    "title_canon_sha256": "cb7c58e3c255f30bfd699a80acfe434f190bf3803c1778a1d58e5544ef410312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03271",
    "kind": "arxiv",
    "version": 2
  }
}