Pith Number

pith:U4XOLE7I

pith:2010:U4XOLE7IWNKVGL5G6SVAVVQTVR

not attested not anchored not stored refs pending

The Critical State and the Steady-State solution in Granular Solid Hydrodynamics

Mario Liu, Stefan Mahle, Yimin Jiang

arxiv:1006.5131 v3 · 2010-06-26 · physics.geo-ph · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4XOLE7IWNKVGL5G6SVAVVQTVR}

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	2026-05-18T04:38:40.008975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72ee593e8b355532fa6f4aa0ad613ac696a37c529c555e8179033e8a2f534c1

Aliases

arxiv: 1006.5131 · arxiv_version: 1006.5131v3 · doi: 10.48550/arxiv.1006.5131 · pith_short_12: U4XOLE7IWNKV · pith_short_16: U4XOLE7IWNKVGL5G · pith_short_8: U4XOLE7I

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/U4XOLE7IWNKVGL5G6SVAVVQTVR \
  | 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: a72ee593e8b355532fa6f4aa0ad613ac696a37c529c555e8179033e8a2f534c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b00b9b636debbb17dae98db3b325010f673091c8560a3dd205170e7b5f2978",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2010-06-26T12:16:51Z",
    "title_canon_sha256": "a42df1fe2823725979b1478fc3e896c8057fa3b21f1b1389975778f74b443bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5131",
    "kind": "arxiv",
    "version": 3
  }
}