pith. sign in
Pith Number

pith:MAD4WJJ6

pith:2011:MAD4WJJ6WXQPJDFNGHC23FZKDH
not attested not anchored not stored refs pending

The evolution of pebble size and shape in space and time

G. Domokos, G. W. Gibbons

arxiv:1109.5707 v2 · 2011-09-26 · physics.geo-ph · cond-mat.soft · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{MAD4WJJ6WXQPJDFNGHC23FZKDH}

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 2026-05-18T02:00:23.175574Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6007cb253eb5e0f48cad31c5ad972a19d861656445445231d9853ab88f7df33c

Aliases

arxiv: 1109.5707 · arxiv_version: 1109.5707v2 · doi: 10.48550/arxiv.1109.5707 · pith_short_12: MAD4WJJ6WXQP · pith_short_16: MAD4WJJ6WXQPJDFN · pith_short_8: MAD4WJJ6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/MAD4WJJ6WXQPJDFNGHC23FZKDH \
  | 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: 6007cb253eb5e0f48cad31c5ad972a19d861656445445231d9853ab88f7df33c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa91a38038ef71355e7045e8a26089912974968cc2dd64a96a16e0add755bd9d",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2011-09-26T20:07:21Z",
    "title_canon_sha256": "7dbcc78442ea82cbae5dc7cb89c08ecdba9e1ab35fc93e325b9943445b3573f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5707",
    "kind": "arxiv",
    "version": 2
  }
}