Pith Number

pith:4OE6L6ZG

pith:2011:4OE6L6ZGCOK4F45ZTZJK2EFL7J

not attested not anchored not stored refs pending

Sobolev regularity of the $\bar{\partial}$-equation on the Hartogs triangle

Debraj Chakrabarti, Mei-Chi Shaw

arxiv:1109.2967 v3 · 2011-09-14 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OE6L6ZGCOK4F45ZTZJK2EFL7J}

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	2026-05-18T03:49:58.438420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e389e5fb261395c2f3b99e52ad10abfa7d2689bedc4b1344ed64ee016f72bf6a

Aliases

arxiv: 1109.2967 · arxiv_version: 1109.2967v3 · doi: 10.48550/arxiv.1109.2967 · pith_short_12: 4OE6L6ZGCOK4 · pith_short_16: 4OE6L6ZGCOK4F45Z · pith_short_8: 4OE6L6ZG

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/4OE6L6ZGCOK4F45ZTZJK2EFL7J \
  | 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: e389e5fb261395c2f3b99e52ad10abfa7d2689bedc4b1344ed64ee016f72bf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "554a6ce03566973deea9dda206bbaf1368c7e8faedeb24eebf0f2ab7252a666b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-09-14T02:04:45Z",
    "title_canon_sha256": "fee1cdbb8fc28c87b0582bbcbc746c4c796d65e4caa72ff0891d5309bb2df258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2967",
    "kind": "arxiv",
    "version": 3
  }
}