Pith Number

pith:4IPDUDUM

pith:2009:4IPDUDUMC36BE3WHTXMCX3XSWY

not attested not anchored not stored refs pending

Compaction in Granular Solid Hydrodynamics

Mario Liu, Yimin Jiang

arxiv:0911.2199 v2 · 2009-11-11 · 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{4IPDUDUMC36BE3WHTXMCX3XSWY}

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	2026-05-18T04:35:14.906612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21e3a0e8c16fc126ec79dd82beef2b60a1ead195c7f89bbc28f0db053f3c2b3

Aliases

arxiv: 0911.2199 · arxiv_version: 0911.2199v2 · doi: 10.48550/arxiv.0911.2199 · pith_short_12: 4IPDUDUMC36B · pith_short_16: 4IPDUDUMC36BE3WH · pith_short_8: 4IPDUDUM

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/4IPDUDUMC36BE3WHTXMCX3XSWY \
  | 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: e21e3a0e8c16fc126ec79dd82beef2b60a1ead195c7f89bbc28f0db053f3c2b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74487eaf5daaacf66422679b7928132ac0c290b072297a2ca81469cc95ef743f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2009-11-11T18:47:37Z",
    "title_canon_sha256": "d8cbceaf4b415dc4abeab42bd774cb6c3d4eadb4cade0b901fc27aae51ce691a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2199",
    "kind": "arxiv",
    "version": 2
  }
}