Pith Number

pith:G6DM3BJH

pith:2017:G6DM3BJHS4GB3OE26WYSTA7ZBH

not attested not anchored not stored refs pending

Interpolation inequalities and spectral estimates for magnetic operators

Ari Laptev, Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE), Michael Loss

arxiv:1706.02950 v2 · 2017-06-09 · 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{G6DM3BJHS4GB3OE26WYSTA7ZBH}

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	2026-05-18T00:16:32.080037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3786cd8527970c1db89af5b12983f909c342ba085877449f8aaee0b1331082d9

Aliases

arxiv: 1706.02950 · arxiv_version: 1706.02950v2 · doi: 10.48550/arxiv.1706.02950 · pith_short_12: G6DM3BJHS4GB · pith_short_16: G6DM3BJHS4GB3OE2 · pith_short_8: G6DM3BJH

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/G6DM3BJHS4GB3OE26WYSTA7ZBH \
  | 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: 3786cd8527970c1db89af5b12983f909c342ba085877449f8aaee0b1331082d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "862c11d3e6bebe1786addbd5555dfcf162ea65d80b43fad3865f383333c09a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-09T13:52:19Z",
    "title_canon_sha256": "60951c65097222385edb930fb1ffd50e9ead5bcb432285c98440ff1184ae0b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02950",
    "kind": "arxiv",
    "version": 2
  }
}