Pith Number

pith:5UYPQZ6A

pith:2017:5UYPQZ6ADP2U3TXDQSH2IS2M6C

not attested not anchored not stored refs pending

Fractional analogue of k-Hessian operators

Yijing Wu

arxiv:1709.02550 v1 · 2017-09-08 · 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{5UYPQZ6ADP2U3TXDQSH2IS2M6C}

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	2026-05-18T00:35:45.409405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed30f867c01bf54dcee3848fa44b4cf082cef97f7577660501d0f2e15c452fde

Aliases

arxiv: 1709.02550 · arxiv_version: 1709.02550v1 · doi: 10.48550/arxiv.1709.02550 · pith_short_12: 5UYPQZ6ADP2U · pith_short_16: 5UYPQZ6ADP2U3TXD · pith_short_8: 5UYPQZ6A

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/5UYPQZ6ADP2U3TXDQSH2IS2M6C \
  | 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: ed30f867c01bf54dcee3848fa44b4cf082cef97f7577660501d0f2e15c452fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e05e5086ee8d9e7242e1e5c22dbedefc30976a79b0b750cf2a88e9b678d7e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-08T05:57:57Z",
    "title_canon_sha256": "e1823877ed73c22c62f4dcf04cb2d4366295842243d0113e7b5f9f8bc90e568f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02550",
    "kind": "arxiv",
    "version": 1
  }
}