Pith Number

pith:OMFJWYSQ

pith:2021:OMFJWYSQ6KGB75NDZ5APRDEUDL

not attested not anchored not stored refs pending

Sharp trace and Korn inequalities for differential operators

Franz Gmeineder, Lars Diening

arxiv:2105.09570 v1 · 2021-05-20 · 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{OMFJWYSQ6KGB75NDZ5APRDEUDL}

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	2026-07-05T02:41:54.244768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730a9b6250f28c1ff5a3cf40f88c941af1dc9756e6980f1e2ffa67c7866989b7

Aliases

arxiv: 2105.09570 · arxiv_version: 2105.09570v1 · doi: 10.48550/arxiv.2105.09570 · pith_short_12: OMFJWYSQ6KGB · pith_short_16: OMFJWYSQ6KGB75ND · pith_short_8: OMFJWYSQ

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/OMFJWYSQ6KGB75NDZ5APRDEUDL \
  | 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: 730a9b6250f28c1ff5a3cf40f88c941af1dc9756e6980f1e2ffa67c7866989b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe99e88bc3060c6350d7869f588d0bb1b093665dfbd1285f4bfd59d206d390a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-05-20T07:50:06Z",
    "title_canon_sha256": "956bf3c870af1c936d39281a445a1a4ab2346e195e80f080558f2275b52504d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.09570",
    "kind": "arxiv",
    "version": 1
  }
}