Pith Number

pith:3T7FI7JF

pith:2016:3T7FI7JFSXJGVKNGZ2VGOGJJJ6

not attested not anchored not stored refs pending

Phase Transitions in the One-dimensional Coulomb Gas Ensembles

Tatyana Turova

arxiv:1606.04479 v1 · 2016-06-14 · 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{3T7FI7JFSXJGVKNGZ2VGOGJJJ6}

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	2026-05-18T01:12:25.554606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcfe547d2595d26aa9a6ceaa6719294f8590e3b3ca27cc99e90edb734dfc49cf

Aliases

arxiv: 1606.04479 · arxiv_version: 1606.04479v1 · doi: 10.48550/arxiv.1606.04479 · pith_short_12: 3T7FI7JFSXJG · pith_short_16: 3T7FI7JFSXJGVKNG · pith_short_8: 3T7FI7JF

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/3T7FI7JFSXJGVKNGZ2VGOGJJJ6 \
  | 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: dcfe547d2595d26aa9a6ceaa6719294f8590e3b3ca27cc99e90edb734dfc49cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375d2395eccd5d9805f2712b2ab52279aea549919c4831c74b424b2a00eff94d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-14T18:01:34Z",
    "title_canon_sha256": "fa54f675f853038fc0e59020562960f24ca518a4bfd7a6337fda52b487d2e48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04479",
    "kind": "arxiv",
    "version": 1
  }
}