Pith Number

pith:52MTXWWC

pith:2010:52MTXWWCPRMG73LZJ7KNIFYOHE

not attested not anchored not stored refs pending

Equilibrium equation of state of a hard sphere binary mixture at very large densities using replica exchange Monte-Carlo simulations

Gerardo Odriozola, Ludovic Berthier

arxiv:1010.5607 v1 · 2010-10-27 · 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{52MTXWWCPRMG73LZJ7KNIFYOHE}

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	2026-05-18T04:30:04.509690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee993bdac27c586fed794fd4d4170e3918e748a377ec4180144d12bf1244ac46

Aliases

arxiv: 1010.5607 · arxiv_version: 1010.5607v1 · doi: 10.48550/arxiv.1010.5607 · pith_short_12: 52MTXWWCPRMG · pith_short_16: 52MTXWWCPRMG73LZ · pith_short_8: 52MTXWWC

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/52MTXWWCPRMG73LZJ7KNIFYOHE \
  | 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: ee993bdac27c586fed794fd4d4170e3918e748a377ec4180144d12bf1244ac46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853e6a7c42f443993e55199b9ed817fb06ed055869d892d799b80dca18e85c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-10-27T08:51:01Z",
    "title_canon_sha256": "79ff3542293b975fc53da580aa16966a99b0620afb1593cf012c9d9b893b9c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5607",
    "kind": "arxiv",
    "version": 1
  }
}