Pith Number

pith:2MF5ZIOA

pith:2017:2MF5ZIOAQ3B5BKXSKP5JYBITOC

not attested not anchored not stored refs pending

A Lax Pair Structure for the Half-Wave Maps Equation

Enno Lenzmann, Patrick G\'erard

arxiv:1707.05028 v2 · 2017-07-17 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MF5ZIOAQ3B5BKXSKP5JYBITOC}

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	2026-05-18T00:23:35.061028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30bdca1c086c3d0aaf253fa9c051370a4ebb79cd7d8c4bf55b17d877f6af629

Aliases

arxiv: 1707.05028 · arxiv_version: 1707.05028v2 · doi: 10.48550/arxiv.1707.05028 · pith_short_12: 2MF5ZIOAQ3B5 · pith_short_16: 2MF5ZIOAQ3B5BKXS · pith_short_8: 2MF5ZIOA

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/2MF5ZIOAQ3B5BKXSKP5JYBITOC \
  | 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: d30bdca1c086c3d0aaf253fa9c051370a4ebb79cd7d8c4bf55b17d877f6af629

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f0bc5d4d350aad824733796af71baac766e2cf0f89a8dd6a6971046a27facc8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-07-17T07:50:13Z",
    "title_canon_sha256": "082a27b4e566cc637515dba8184f67e0e491ecb332bc5b6e828303193153a450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05028",
    "kind": "arxiv",
    "version": 2
  }
}