Pith Number

pith:CDPMWDKU

pith:2011:CDPMWDKU65WCVM76R7D55CK6CG

not attested not anchored not stored refs pending

An analytical solution of Shallow Water system coupled to Exner equation

BRGM), Christophe Berthon (LMJL), IJLRA), JAD, Minh H. Le (MAPMO, Olivier Delestre (MAPMO, St\'ephane Cordier (MAPMO)

arxiv:1112.1582 v1 · 2011-12-07 · 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{CDPMWDKU65WCVM76R7D55CK6CG}

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	2026-05-18T04:03:55.639931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10decb0d54f76c2ab3fe8fc7de895e11a0028b2821d8eb54aadc7a5f3581a2d1

Aliases

arxiv: 1112.1582 · arxiv_version: 1112.1582v1 · doi: 10.48550/arxiv.1112.1582 · pith_short_12: CDPMWDKU65WC · pith_short_16: CDPMWDKU65WCVM76 · pith_short_8: CDPMWDKU

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/CDPMWDKU65WCVM76R7D55CK6CG \
  | 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: 10decb0d54f76c2ab3fe8fc7de895e11a0028b2821d8eb54aadc7a5f3581a2d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b35e0e6a9a15b713ac80d71ec1027bef3afb53e4decab67d5a15ccf236c50471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-07T14:45:29Z",
    "title_canon_sha256": "540c8ee61368efefe8010dbab9307285261706400c16a123ae11ae721cdb7007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1582",
    "kind": "arxiv",
    "version": 1
  }
}