Pith Number

pith:S52CXQMP

pith:2012:S52CXQMP2XAWDM4PRHWZSDE5I7

not attested not anchored not stored refs pending

Steady water waves in the presence of wind

Jalal Shatah, Oliver B\"uhler, Samuel Walsh

arxiv:1211.3308 v1 · 2012-11-14 · 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{S52CXQMP2XAWDM4PRHWZSDE5I7}

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	2026-05-18T03:40:50.211324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97742bc18fd5c161b38f89ed990c9d47c9e4a0920cd3241d76d21aed3ba14a6a

Aliases

arxiv: 1211.3308 · arxiv_version: 1211.3308v1 · doi: 10.48550/arxiv.1211.3308 · pith_short_12: S52CXQMP2XAW · pith_short_16: S52CXQMP2XAWDM4P · pith_short_8: S52CXQMP

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/S52CXQMP2XAWDM4PRHWZSDE5I7 \
  | 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: 97742bc18fd5c161b38f89ed990c9d47c9e4a0920cd3241d76d21aed3ba14a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd4331e3deadd98012a2df3b3355468c7244db1e5a4925ab734ac22b2e41689",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-14T14:07:32Z",
    "title_canon_sha256": "4304f529bd4f6c18d590b7bdf3af1b29c81562b375255b34e9eaeeab41052eb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3308",
    "kind": "arxiv",
    "version": 1
  }
}