Pith Number

pith:BTCLRD6A

pith:2015:BTCLRD6A65M44GMKZWII536LAF

not attested not anchored not stored refs pending

Asymptotic expansion in Gevrey spaces for solutions of Navier-Stokes equations

Luan T. Hoang, Vincent R. Martinez

arxiv:1511.03523 v2 · 2015-11-11 · 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{BTCLRD6A65M44GMKZWII536LAF}

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	2026-05-18T00:45:26.220380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc4b88fc0f759ce198acd908eefcb0175b486316784d686c800fdadab9d5f8c

Aliases

arxiv: 1511.03523 · arxiv_version: 1511.03523v2 · doi: 10.48550/arxiv.1511.03523 · pith_short_12: BTCLRD6A65M4 · pith_short_16: BTCLRD6A65M44GMK · pith_short_8: BTCLRD6A

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/BTCLRD6A65M44GMKZWII536LAF \
  | 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: 0cc4b88fc0f759ce198acd908eefcb0175b486316784d686c800fdadab9d5f8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287b273af7d10ab263a88733a5003a2f1b6ff003a0f53ba918e7942434f5eae3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-11T14:58:33Z",
    "title_canon_sha256": "6a0b809068aecda502edb08cdbcf89a31343fade26fd5cc2639f03bdd1d6ba58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03523",
    "kind": "arxiv",
    "version": 2
  }
}