Pith Number

pith:ZHUZ42WI

pith:2026:ZHUZ42WI62NAVAAZSC7VG7OVYC

not attested not anchored not stored refs pending

Self-improving properties for a class of elliptic and parabolic equations on bounded domains

Abner J. Salgado, Tadele Mengesha

arxiv:2606.06677 v1 · 2026-06-04 · 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{ZHUZ42WI62NAVAAZSC7VG7OVYC}

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	2026-06-08T01:04:22.005447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e99e6ac8f69a0a801990bf537dd5c08e9e031cac07e174092efa87e35991f8

Aliases

arxiv: 2606.06677 · arxiv_version: 2606.06677v1 · doi: 10.48550/arxiv.2606.06677 · pith_short_12: ZHUZ42WI62NA · pith_short_16: ZHUZ42WI62NAVAAZ · pith_short_8: ZHUZ42WI

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/ZHUZ42WI62NAVAAZSC7VG7OVYC \
  | 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: c9e99e6ac8f69a0a801990bf537dd5c08e9e031cac07e174092efa87e35991f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861e585e240744e4b1257d1f2859e011458e3e828d7985b4889fe9142a9f3cbf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-04T19:51:15Z",
    "title_canon_sha256": "924806ad2c2eb10d8533aed5e9982e9598f8f8f89fc97bee50a14fe2c575f591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06677",
    "kind": "arxiv",
    "version": 1
  }
}