Pith Number

pith:7KFKJ3GB

pith:2000:7KFKJ3GBJ6KLVOZKWTVZ7S5TSY

not attested not anchored not stored refs pending

Exact Solution of Asymmetric Diffusion With N Classes of Particles of Arbitrary Size and Hierarchical Order

F.C.Alcaraz, R. Z. Bariev

arxiv:cond-mat/0009157 v1 · 2000-09-11 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KFKJ3GBJ6KLVOZKWTVZ7S5TSY}

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	2026-05-18T01:40:08.110254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa8aa4ecc14f94babb2ab4eb9fcbb39607439a4057f346f4c741ae82bc7df15a

Aliases

arxiv: cond-mat/0009157 · arxiv_version: cond-mat/0009157v1 · doi: 10.48550/arxiv.cond-mat/0009157 · pith_short_12: 7KFKJ3GBJ6KL · pith_short_16: 7KFKJ3GBJ6KLVOZK · pith_short_8: 7KFKJ3GB

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/7KFKJ3GBJ6KLVOZKWTVZ7S5TSY \
  | 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: fa8aa4ecc14f94babb2ab4eb9fcbb39607439a4057f346f4c741ae82bc7df15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d3131b08991af069970b6ec5c9891a349778a157e9b6890a2319eb5998e66e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2000-09-11T19:27:42Z",
    "title_canon_sha256": "942044cc7fdd0f9aa5774df267f825567db07b97918b0d6dc28edb6c7a9e348b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0009157",
    "kind": "arxiv",
    "version": 1
  }
}