Pith Number

pith:37E2RF3V

pith:2016:37E2RF3VIXWEGNEDS2SWEOWNO7

not attested not anchored not stored refs pending

A family of functional inequalities: Lojasiewicz inequalities and displacement convex functions

Adrien Blanchet (GREMAQ), J\'er\^ome Bolte (TSE)

arxiv:1612.02619 v5 · 2016-12-08 · 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{37E2RF3VIXWEGNEDS2SWEOWNO7}

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	2026-05-18T00:03:57.205535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc9a8977545ec43348396a5623acd77cbf4fcc3b09b71344cf33c1f1b9687ea

Aliases

arxiv: 1612.02619 · arxiv_version: 1612.02619v5 · doi: 10.48550/arxiv.1612.02619 · pith_short_12: 37E2RF3VIXWE · pith_short_16: 37E2RF3VIXWEGNED · pith_short_8: 37E2RF3V

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/37E2RF3VIXWEGNEDS2SWEOWNO7 \
  | 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: dfc9a8977545ec43348396a5623acd77cbf4fcc3b09b71344cf33c1f1b9687ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583c0cce688f59dca3580ea6ae7c2665b454c16e01ee586064469e32424a64b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-08T12:26:32Z",
    "title_canon_sha256": "938a75e9a94afc65c763aabc38961ac3e54f0663377caafc49ec1029e35200cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02619",
    "kind": "arxiv",
    "version": 5
  }
}