Pith Number

pith:NXWBJJL5

pith:2018:NXWBJJL5QQ5NVKCLOL76OFRUHC

not attested not anchored not stored refs pending

Existence theory for the Boussinesq equation in Modulation spaces

Carlos Banquet Brango, \'Elder J. Villamizar-Roa

arxiv:1810.03684 v1 · 2018-10-08 · 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{NXWBJJL5QQ5NVKCLOL76OFRUHC}

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	2026-05-18T00:03:44.756308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dec14a57d843adaa84b72ffe716343881f14f168b825f37ecfe4131033d86c0

Aliases

arxiv: 1810.03684 · arxiv_version: 1810.03684v1 · doi: 10.48550/arxiv.1810.03684 · pith_short_12: NXWBJJL5QQ5N · pith_short_16: NXWBJJL5QQ5NVKCL · pith_short_8: NXWBJJL5

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/NXWBJJL5QQ5NVKCLOL76OFRUHC \
  | 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: 6dec14a57d843adaa84b72ffe716343881f14f168b825f37ecfe4131033d86c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ecd2f35af976852b87811aa61e1f6093848ad4b287d02f033c478877a57a2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-08T20:04:33Z",
    "title_canon_sha256": "8f1f9449b04bb0bbb40f40bca8cbdb14a3a38f92619cef1a855a06eb2fd806aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03684",
    "kind": "arxiv",
    "version": 1
  }
}