Pith Number

pith:XSJ3LZUI

pith:2011:XSJ3LZUIU7QWFX5RLXQS5LE647

not attested not anchored not stored refs pending

An Integro-Differential Conservation Law arising in a Model of Granular Flow

D. Amadori, W. Shen

arxiv:1101.2131 v1 · 2011-01-11 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSJ3LZUIU7QWFX5RLXQS5LE647}

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	2026-05-18T02:22:58.827452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc93b5e688a7e162dfb15de12eac9ee7f7b9aeb1974d93ffc59c500ca7037e79

Aliases

arxiv: 1101.2131 · arxiv_version: 1101.2131v1 · doi: 10.48550/arxiv.1101.2131 · pith_short_12: XSJ3LZUIU7QW · pith_short_16: XSJ3LZUIU7QWFX5R · pith_short_8: XSJ3LZUI

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/XSJ3LZUIU7QWFX5RLXQS5LE647 \
  | 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: bc93b5e688a7e162dfb15de12eac9ee7f7b9aeb1974d93ffc59c500ca7037e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cbc12408fd318866304056c29319312c65f9350710d95200f5966bd78c29311",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-11T14:11:21Z",
    "title_canon_sha256": "ab25cbc31d33c5b1af44449c43b043966e1b7dae8b69aeef18949658be306708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2131",
    "kind": "arxiv",
    "version": 1
  }
}