Pith Number

pith:J2WIA5KB

pith:2011:J2WIA5KBAC2OD5GHJASSRQRQ5D

not attested not anchored not stored refs pending

Equivalence of weak formulations of the steady water waves equations

Arghir Zarnescu, Eugen Varvaruca

arxiv:1105.1653 v1 · 2011-05-09 · 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{J2WIA5KBAC2OD5GHJASSRQRQ5D}

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	2026-05-18T02:02:02.586503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eac80754100b4e1f4c7482528c230e8d1088b999671964f14d3d83a99733d09

Aliases

arxiv: 1105.1653 · arxiv_version: 1105.1653v1 · doi: 10.48550/arxiv.1105.1653 · pith_short_12: J2WIA5KBAC2O · pith_short_16: J2WIA5KBAC2OD5GH · pith_short_8: J2WIA5KB

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/J2WIA5KBAC2OD5GHJASSRQRQ5D \
  | 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: 4eac80754100b4e1f4c7482528c230e8d1088b999671964f14d3d83a99733d09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f04ffc21996dc2bee02118cc30366e298e5ed95bd7d368e52a97eb947883596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-09T12:16:33Z",
    "title_canon_sha256": "10a69b248fd207403ccd33d61c77a26f96960179d44eac208212b78a7b59c35b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1653",
    "kind": "arxiv",
    "version": 1
  }
}