Pith Number

pith:GX2I6ILT

pith:2008:GX2I6ILTVMQIEGZ3Y7SS6C7OEN

not attested not anchored not stored refs pending

Symmetry-preserving observers for some water tank problems: theory and application to a shallow water model

Didier Auroux, S. Bonnabel

arxiv:0809.1400 v2 · 2008-09-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GX2I6ILTVMQIEGZ3Y7SS6C7OEN}

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	2026-05-18T03:12:58.347984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f48f2173ab20821b3bc7e52f0bee234002405ddf95c0a7446f217d2a706fb7

Aliases

arxiv: 0809.1400 · arxiv_version: 0809.1400v2 · doi: 10.48550/arxiv.0809.1400 · pith_short_12: GX2I6ILTVMQI · pith_short_16: GX2I6ILTVMQIEGZ3 · pith_short_8: GX2I6ILT

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/GX2I6ILTVMQIEGZ3Y7SS6C7OEN \
  | 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: 35f48f2173ab20821b3bc7e52f0bee234002405ddf95c0a7446f217d2a706fb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea795b9a8e0d3f52f6ad4c8e3c0f4b8c672ca3fbc5d2876fa099a74dd9f9051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-09-08T18:51:09Z",
    "title_canon_sha256": "c76583dc5f47798a6d704e45fbf6e8c9d05ed32842f68bd5b8be8f17440fb97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.1400",
    "kind": "arxiv",
    "version": 2
  }
}