Pith Number

pith:55YVY7XO

pith:2018:55YVY7XOZN26ZI4ORC4B6UMCHR

not attested not anchored not stored refs pending

Weighted gradient inequalities and unique continuation problems

Dmitry Gorbachev, Laura De Carli, Sergey Tikhonov

arxiv:1804.03712 v1 · 2018-04-10 · 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{55YVY7XOZN26ZI4ORC4B6UMCHR}

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	2026-05-18T00:18:45.233554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef715c7eeecb75eca38e88b81f51823c59db818efa71ce268f872be0ad4fd298

Aliases

arxiv: 1804.03712 · arxiv_version: 1804.03712v1 · doi: 10.48550/arxiv.1804.03712 · pith_short_12: 55YVY7XOZN26 · pith_short_16: 55YVY7XOZN26ZI4O · pith_short_8: 55YVY7XO

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/55YVY7XOZN26ZI4ORC4B6UMCHR \
  | 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: ef715c7eeecb75eca38e88b81f51823c59db818efa71ce268f872be0ad4fd298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "362391768998c7564fdd4c765cd633516ca346dd469145abbe9232657fee9293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-10T20:46:35Z",
    "title_canon_sha256": "accdf97e9655b36cb967988c1208d8925116ffb2578f4dc929796af65216a341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03712",
    "kind": "arxiv",
    "version": 1
  }
}