Pith Number

pith:NPH6AUB6

pith:2013:NPH6AUB6QERFVIZUH2J3AQIIDX

not attested not anchored not stored refs pending

Pattern Formations of 2D Rayleigh-B\`enard Convection with No-Slip Boundary Conditions for the Velocity at the Critical Length Scales

Jie Shen, Shouhong Wang, Taylan Sengul

arxiv:1302.3625 v1 · 2013-02-14 · nlin.PS · 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{NPH6AUB6QERFVIZUH2J3AQIIDX}

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	2026-05-18T03:33:36.350136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bcfe0503e81225aa3343e93b041081dd8595d0346feca5034e251637d8b5215

Aliases

arxiv: 1302.3625 · arxiv_version: 1302.3625v1 · doi: 10.48550/arxiv.1302.3625 · pith_short_12: NPH6AUB6QERF · pith_short_16: NPH6AUB6QERFVIZU · pith_short_8: NPH6AUB6

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/NPH6AUB6QERFVIZUH2J3AQIIDX \
  | 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: 6bcfe0503e81225aa3343e93b041081dd8595d0346feca5034e251637d8b5215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fd557278e2182be11e3fe680f823a658614cf7ed1ff999fd051a6f2317c28fd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-02-14T21:03:30Z",
    "title_canon_sha256": "ed7e594ec4f490cf29ef0cf5996fda44815352eb6e12f70251b568772c38be81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3625",
    "kind": "arxiv",
    "version": 1
  }
}