Pith Number

pith:RENJ3ORG

pith:2010:RENJ3ORGYRDC7BJKTDHO5SVCQK

not attested not anchored not stored refs pending

Granular Solid Hydrodynamics: Dense Flow, Fluidization and Jamming

Mario Liu, Stefan Mahle, Yimin Jiang

arxiv:1010.5350 v1 · 2010-10-26 · 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{RENJ3ORGYRDC7BJKTDHO5SVCQK}

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	2026-05-18T04:38:38.972250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891a9dba26c4462f852a98ceeecaa282b6651868a0164371e2f4a3e1e0dd7512

Aliases

arxiv: 1010.5350 · arxiv_version: 1010.5350v1 · doi: 10.48550/arxiv.1010.5350 · pith_short_12: RENJ3ORGYRDC · pith_short_16: RENJ3ORGYRDC7BJK · pith_short_8: RENJ3ORG

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/RENJ3ORGYRDC7BJKTDHO5SVCQK \
  | 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: 891a9dba26c4462f852a98ceeecaa282b6651868a0164371e2f4a3e1e0dd7512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c5da4983abf4f2899d59a63a37fc0e1f937ed6239d8c8c6997fc0535bcceec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-10-26T10:08:28Z",
    "title_canon_sha256": "4b04b9e1a4dc1ca3343ad5bf626bb8ba9593843d9e467d373cf87cb0d97df035"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5350",
    "kind": "arxiv",
    "version": 1
  }
}