Pith Number

pith:WB6HYL3A

pith:2000:WB6HYL3A3QGRCLIPBVVBZP67X3

not attested not anchored not stored refs pending

Hydrodynamic equation for a deposition model

Balint Toth, Wendelin Werner

arxiv:math/0012232 v1 · 2000-12-22 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB6HYL3A3QGRCLIPBVVBZP67X3}

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	2026-05-18T00:40:08.967902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07c7c2f60dc0d112d0f0d6a1cbfdfbedf0f3bcd05c5a267a912a098b1050738

Aliases

arxiv: math/0012232 · arxiv_version: math/0012232v1 · doi: 10.48550/arxiv.math/0012232 · pith_short_12: WB6HYL3A3QGR · pith_short_16: WB6HYL3A3QGRCLIP · pith_short_8: WB6HYL3A

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/WB6HYL3A3QGRCLIPBVVBZP67X3 \
  | 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: b07c7c2f60dc0d112d0f0d6a1cbfdfbedf0f3bcd05c5a267a912a098b1050738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1590cfb6b04ba59cf4b75e181cc8891c48c54326715faabd4dd78b46943f30",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-12-22T13:04:17Z",
    "title_canon_sha256": "2c53111221149d6f57f8f4a04ffd14796583ee0b69258c27a135eb5db9299155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012232",
    "kind": "arxiv",
    "version": 1
  }
}