Pith Number

pith:MJDUZJ2Q

pith:2010:MJDUZJ2Q75RTHVMYYIAONNFSIU

not attested not anchored not stored refs pending

Mathematical derivation of viscous shallow-water equations with zero surface tension

Didier Bresch (LAMA), Pascal Noble (ICJ)

arxiv:1002.2621 v1 · 2010-02-12 · 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{MJDUZJ2Q75RTHVMYYIAONNFSIU}

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	2026-05-18T00:56:47.419049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62474ca750ff6333d598c200e6b4b2453c5e86f5339ce49626924b6ffbf44f7f

Aliases

arxiv: 1002.2621 · arxiv_version: 1002.2621v1 · doi: 10.48550/arxiv.1002.2621 · pith_short_12: MJDUZJ2Q75RT · pith_short_16: MJDUZJ2Q75RTHVMY · pith_short_8: MJDUZJ2Q

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/MJDUZJ2Q75RTHVMYYIAONNFSIU \
  | 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: 62474ca750ff6333d598c200e6b4b2453c5e86f5339ce49626924b6ffbf44f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75647dc3a5a967b12e9fa9018d5535d524432c5b32369334d8976fa1804bc17f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-12T19:06:51Z",
    "title_canon_sha256": "574c500dd06851d6f4826975bea6579961156c0ca2121847feaa9268bb4c7cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2621",
    "kind": "arxiv",
    "version": 1
  }
}