Pith Number

pith:SXXNAL4R

pith:2010:SXXNAL4RW4HPO7BHFDP5X4KWZE

not attested not anchored not stored refs pending

A microscopic mean-field theory of the jamming transition

Francesco Zamponi, Hugo Jacquin, Ludovic Berthier

arxiv:1011.5638 v2 · 2010-11-25 · 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{SXXNAL4RW4HPO7BHFDP5X4KWZE}

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	2026-05-18T04:25:11.061703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95eed02f91b70ef77c2728dfdbf156c90ffea53b55997a67a15b3fabbf065208

Aliases

arxiv: 1011.5638 · arxiv_version: 1011.5638v2 · doi: 10.48550/arxiv.1011.5638 · pith_short_12: SXXNAL4RW4HP · pith_short_16: SXXNAL4RW4HPO7BH · pith_short_8: SXXNAL4R

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/SXXNAL4RW4HPO7BHFDP5X4KWZE \
  | 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: 95eed02f91b70ef77c2728dfdbf156c90ffea53b55997a67a15b3fabbf065208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04650dc39b5c0cc4fc903d04566d0ff6bdad64d79d5bd6cc20987a7c1d77d1b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-25T15:04:23Z",
    "title_canon_sha256": "7a26bc1783ce55a996a9d1277001b890f660044b4b6d95a830c32f159b39c81b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5638",
    "kind": "arxiv",
    "version": 2
  }
}