Pith Number

pith:XMGFEWT3

pith:2018:XMGFEWT33UVTYLITRP2JQJ7O6E

not attested not anchored not stored refs pending

A variational proof of Nash's inequality

Christian Schmeiser, Emeric Bouin (CEREMADE), Jean Dolbeault (CEREMADE)

arxiv:1811.12770 v1 · 2018-11-30 · 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{XMGFEWT33UVTYLITRP2JQJ7O6E}

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	2026-05-17T23:59:28.514052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0c525a7bdd2b3c2d138bf49827eef13d59589e88bb541d6c9555e3989192fa

Aliases

arxiv: 1811.12770 · arxiv_version: 1811.12770v1 · doi: 10.48550/arxiv.1811.12770 · pith_short_12: XMGFEWT33UVT · pith_short_16: XMGFEWT33UVTYLIT · pith_short_8: XMGFEWT3

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/XMGFEWT33UVTYLITRP2JQJ7O6E \
  | 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: bb0c525a7bdd2b3c2d138bf49827eef13d59589e88bb541d6c9555e3989192fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67fefb3113793ba0b552849fb548efcb3ca19c1069224743eda3c54e5e90c1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-30T12:52:50Z",
    "title_canon_sha256": "27c2bc022acb594e01bf58b92488203827669bdb9478d99a2fc3a4b1558ae9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.12770",
    "kind": "arxiv",
    "version": 1
  }
}