Pith Number

pith:XU3MW6GI

pith:2016:XU3MW6GIOCG3PUWGESDYPLDONH

not attested not anchored not stored refs pending

Equation of state for random sphere packing with arbitrary adhesion and friction

Hern\'an A. Makse, Sheng Chen, Shuiqing Li, Wenwei Liu, Yuliang Jin

arxiv:1604.05150 v3 · 2016-04-18 · 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{XU3MW6GIOCG3PUWGESDYPLDONH}

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	2026-05-18T00:53:15.716786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd36cb78c8708db7d2c6248787ac6e69c4108a455078c262cfb618f842402819

Aliases

arxiv: 1604.05150 · arxiv_version: 1604.05150v3 · doi: 10.48550/arxiv.1604.05150 · pith_short_12: XU3MW6GIOCG3 · pith_short_16: XU3MW6GIOCG3PUWG · pith_short_8: XU3MW6GI

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/XU3MW6GIOCG3PUWGESDYPLDONH \
  | 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: bd36cb78c8708db7d2c6248787ac6e69c4108a455078c262cfb618f842402819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c95322510cbd31d1447ff8cb47b09301f6e6498199f091117505b690f02ae5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2016-04-18T13:52:32Z",
    "title_canon_sha256": "946b99282aa91e7ff17ce8aac5ef111acbcf7b7d4a49444584fff9c9337d95a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05150",
    "kind": "arxiv",
    "version": 3
  }
}