Pith Number

pith:VIMLKJL7

pith:2018:VIMLKJL72APPENRTMORMSFH2EE

not attested not anchored not stored refs pending

Optimal function spaces for the weak continuity of the distributional $k$-Hessian

Qiang Tu, Wenyi Chen

arxiv:1804.00790 v1 · 2018-04-03 · 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{VIMLKJL72APPENRTMORMSFH2EE}

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	2026-05-18T00:19:32.141732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa18b5257fd01ef2363363a2c914fa213ab1b79aac9e53f3816bf2d0921ce46e

Aliases

arxiv: 1804.00790 · arxiv_version: 1804.00790v1 · doi: 10.48550/arxiv.1804.00790 · pith_short_12: VIMLKJL72APP · pith_short_16: VIMLKJL72APPENRT · pith_short_8: VIMLKJL7

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/VIMLKJL72APPENRTMORMSFH2EE \
  | 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: aa18b5257fd01ef2363363a2c914fa213ab1b79aac9e53f3816bf2d0921ce46e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d715a9ae928ba209e7403a9a9aee1828703e9bf471348871ae758089168af0c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-03T02:21:29Z",
    "title_canon_sha256": "7ca73c8981d2aca8facc08361ef2eb1d526ae2985c6c687f7b0f408f33a165de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00790",
    "kind": "arxiv",
    "version": 1
  }
}