Pith Number

pith:2IP7NDOT

pith:2013:2IP7NDOTA6AGJ4M23CBBMYSPHT

not attested not anchored not stored refs pending

A Justification of the Modulation Approximation to the 3D Full Water Wave Problem

Nathan Totz

arxiv:1309.5995 v2 · 2013-09-23 · 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{2IP7NDOTA6AGJ4M23CBBMYSPHT}

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	2026-05-18T02:58:45.684519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21ff68dd3078064f19ad88216624f3cf310199d17b3a78e48aae87f508cdea2

Aliases

arxiv: 1309.5995 · arxiv_version: 1309.5995v2 · doi: 10.48550/arxiv.1309.5995 · pith_short_12: 2IP7NDOTA6AG · pith_short_16: 2IP7NDOTA6AGJ4M2 · pith_short_8: 2IP7NDOT

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/2IP7NDOTA6AGJ4M23CBBMYSPHT \
  | 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: d21ff68dd3078064f19ad88216624f3cf310199d17b3a78e48aae87f508cdea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62db2280a4ab2e97c50099a94b97b22c7106dc9f7f28b4e3dbf12aab67b8e8a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-23T21:56:13Z",
    "title_canon_sha256": "fe64e7f6778fcec89490e4c3ff4cb98e61f39e98e1e7948b0e564dba2743abfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5995",
    "kind": "arxiv",
    "version": 2
  }
}