Pith Number

pith:XGPDKTEM

pith:2016:XGPDKTEMF2MKMNCQDLIDKCIDJV

not attested not anchored not stored refs pending

Existence and uniqueness of global solutions for the modified anisotropic 3D Navier-Stokes equations

Hakima Bessaih, Hamdi Zorgati, Saber Trabelsi

arxiv:1601.06178 v1 · 2016-01-22 · 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{XGPDKTEMF2MKMNCQDLIDKCIDJV}

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	2026-05-18T01:22:05.202906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99e354c8c2e98a634501ad03509034d6cdb2e9e164a32336412c86b1d0978a3

Aliases

arxiv: 1601.06178 · arxiv_version: 1601.06178v1 · doi: 10.48550/arxiv.1601.06178 · pith_short_12: XGPDKTEMF2MK · pith_short_16: XGPDKTEMF2MKMNCQ · pith_short_8: XGPDKTEM

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/XGPDKTEMF2MKMNCQDLIDKCIDJV \
  | 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: b99e354c8c2e98a634501ad03509034d6cdb2e9e164a32336412c86b1d0978a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ec1d0651371b3411689728d2d558649a9ecbbdfb5ffed2c9b82d1293b7d2c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-22T21:38:06Z",
    "title_canon_sha256": "5424730b6630a611f2129d880946953566990716f8c31b5ba5e31b66045ae1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06178",
    "kind": "arxiv",
    "version": 1
  }
}