Pith Number

pith:TO5FQZQ3

pith:2009:TO5FQZQ33TYI4VVNASND3AW3L3

not attested not anchored not stored refs pending

Regularity results for $\bar\partial_b$ on CR-manifolds of hypersurface type

Andrew Raich, Phillip Harrington

arxiv:0912.2823 v1 · 2009-12-15 · math.CV · 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{TO5FQZQ33TYI4VVNASND3AW3L3}

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	2026-05-18T02:49:03.560578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bba58661bdcf08e56ad049a3d82db5ee0af81793691b9784d54c78adbc711ef

Aliases

arxiv: 0912.2823 · arxiv_version: 0912.2823v1 · doi: 10.48550/arxiv.0912.2823 · pith_short_12: TO5FQZQ33TYI · pith_short_16: TO5FQZQ33TYI4VVN · pith_short_8: TO5FQZQ3

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/TO5FQZQ33TYI4VVNASND3AW3L3 \
  | 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: 9bba58661bdcf08e56ad049a3d82db5ee0af81793691b9784d54c78adbc711ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d84437d5e61db1a664b7bfe54304c867699fbd18d57e070d3790e2ee28207e8d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-12-15T20:38:26Z",
    "title_canon_sha256": "b4bae52c2a7f24c6759c211e39064a7bd4e5761227b3f657cd8bc3c7a03c0e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2823",
    "kind": "arxiv",
    "version": 1
  }
}