Pith Number

pith:32YHO4DZ

pith:2014:32YHO4DZAXSJJCWEAE6GRVRAXT

not attested not anchored not stored refs pending

A bound from below on the temperature for the Navier-Stokes-Fourier system

Alexis Vasseur, Eric Baer

arxiv:1411.1365 v1 · 2014-11-05 · 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{32YHO4DZAXSJJCWEAE6GRVRAXT}

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	2026-05-18T02:38:30.238805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb077707905e4948ac4013c68d620bcca791520c7bd135b8957be538a44599a

Aliases

arxiv: 1411.1365 · arxiv_version: 1411.1365v1 · doi: 10.48550/arxiv.1411.1365 · pith_short_12: 32YHO4DZAXSJ · pith_short_16: 32YHO4DZAXSJJCWE · pith_short_8: 32YHO4DZ

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/32YHO4DZAXSJJCWEAE6GRVRAXT \
  | 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: deb077707905e4948ac4013c68d620bcca791520c7bd135b8957be538a44599a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404ffe3687207e217bbe2542e239f2cc3f6b21dac8d81f1e44182404a50c7525",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-05T19:20:34Z",
    "title_canon_sha256": "d17583070e34104fa63ee598ebe371b8a3f26849472ac34243dc0229186c6693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1365",
    "kind": "arxiv",
    "version": 1
  }
}