Pith Number

pith:CQZ3GVAH

pith:2015:CQZ3GVAHWE72P6MQR2ARDGWULU

not attested not anchored not stored refs pending

Existence and uniqueness of weak solutions to viscous primitive equations for certain class of discontinuous initial data

Edriss S. Titi, Jinkai Li

arxiv:1512.00700 v1 · 2015-12-02 · 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{CQZ3GVAHWE72P6MQR2ARDGWULU}

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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	2026-05-18T01:25:25.341337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1433b35407b13fa7f9908e81119ad45d3a6e6e999fb125a79f8c970aeb31265e

Aliases

arxiv: 1512.00700 · arxiv_version: 1512.00700v1 · doi: 10.48550/arxiv.1512.00700 · pith_short_12: CQZ3GVAHWE72 · pith_short_16: CQZ3GVAHWE72P6MQ · pith_short_8: CQZ3GVAH

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/CQZ3GVAHWE72P6MQR2ARDGWULU \
  | 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: 1433b35407b13fa7f9908e81119ad45d3a6e6e999fb125a79f8c970aeb31265e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83cccab12c1fc417c4bf5faf0df2e68d27a2e5ad8eed43806e17317449db93e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-02T14:12:06Z",
    "title_canon_sha256": "c5b81feac51a29e61428d626302669c0f9a41cef084e436ae353a1cfbecd9e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00700",
    "kind": "arxiv",
    "version": 1
  }
}