pith. sign in
Pith Number

pith:FRI33GDP

pith:2008:FRI33GDPM6WCINBP6DYJGRCGPV
not attested not anchored not stored refs pending

Jamming in two-dimensional packings

Chaoming Song, Hern\'an A. Makse, Kun Wang, Sam Meyer, Yuliang Jin

arxiv:0808.2192 v2 · 2008-08-15 · cond-mat.soft · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FRI33GDPM6WCINBP6DYJGRCGPV}

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 2026-05-18T04:35:47.936442Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2c51bd986f67ac24342ff0f09344467d59ba0132411baf229041c3c3823c382b

Aliases

arxiv: 0808.2192 · arxiv_version: 0808.2192v2 · doi: 10.48550/arxiv.0808.2192 · pith_short_12: FRI33GDPM6WC · pith_short_16: FRI33GDPM6WCINBP · pith_short_8: FRI33GDP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FRI33GDPM6WCINBP6DYJGRCGPV \
  | 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: 2c51bd986f67ac24342ff0f09344467d59ba0132411baf229041c3c3823c382b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "912c854d77f03114658db6945d05b12f6bc5f41a226060f5dbdd8bdd3110861d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2008-08-15T20:05:32Z",
    "title_canon_sha256": "44e023a15ce04a1a53d6248c806722fabaf0e93391b4a3f1defa99c27210f262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2192",
    "kind": "arxiv",
    "version": 2
  }
}