Pith Number

pith:JZMTDO6Y

pith:2013:JZMTDO6YC32XJXQYFE7YLS6HQI

not attested not anchored not stored refs pending

Exact theory of dense amorphous hard spheres in high dimension. III. The full RSB solution

Francesco Zamponi, Giorgio Parisi, Jorge Kurchan, Patrick Charbonneau, Pierfrancesco Urbani

arxiv:1310.2549 v5 · 2013-10-09 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZMTDO6YC32XJXQYFE7YLS6HQI}

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	2026-05-18T02:40:18.650735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e5931bbd816f574de18293f85cbc782121db9055b572fcca78f04f7cbfef647

Aliases

arxiv: 1310.2549 · arxiv_version: 1310.2549v5 · doi: 10.48550/arxiv.1310.2549 · pith_short_12: JZMTDO6YC32X · pith_short_16: JZMTDO6YC32XJXQY · pith_short_8: JZMTDO6Y

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/JZMTDO6YC32XJXQYFE7YLS6HQI \
  | 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: 4e5931bbd816f574de18293f85cbc782121db9055b572fcca78f04f7cbfef647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51342f2a29d0cad324021049dafe4eb0175e4b5bf1865676a0003fb99294833f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2013-10-09T17:18:54Z",
    "title_canon_sha256": "11341af3d9be7b743a4fce2ad84106bd9d0b9023e746ba97aa2e03b234ee09a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2549",
    "kind": "arxiv",
    "version": 5
  }
}