Pith Number

pith:DNGR6XQF

pith:2018:DNGR6XQFZKFXO6EKO3HUKF3ZOB

not attested not anchored not stored refs pending

Uniqueness theorems for the Boussinesq system

Jiao He (ICJ), Lorenzo Brandolese (ICJ)

arxiv:1810.13154 v1 · 2018-10-31 · 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{DNGR6XQFZKFXO6EKO3HUKF3ZOB}

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	2026-05-18T00:01:52.158885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4d1f5e05ca8b77788a76cf4517797059243462f6c29d83f92b8607aa54d29d

Aliases

arxiv: 1810.13154 · arxiv_version: 1810.13154v1 · doi: 10.48550/arxiv.1810.13154 · pith_short_12: DNGR6XQFZKFX · pith_short_16: DNGR6XQFZKFXO6EK · pith_short_8: DNGR6XQF

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/DNGR6XQFZKFXO6EKO3HUKF3ZOB \
  | 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: 1b4d1f5e05ca8b77788a76cf4517797059243462f6c29d83f92b8607aa54d29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9195e9649fc3d2a843280fdf3236991aaef993958745c86a4f1cc47049c61f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-31T08:37:33Z",
    "title_canon_sha256": "a9e8621c92c809b62a11850e2e606895fe8c5aa27aaf9c40c21b2dee641377ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13154",
    "kind": "arxiv",
    "version": 1
  }
}