Pith Number

pith:3AP52CHF

pith:2020:3AP52CHFPZRSC4XJHZVKUIAZGM

not attested not anchored not stored refs pending

From H\"ormander's $L^2$-estimates to partial positivity

Takahiro Inayama

arxiv:2008.08287 v3 · 2020-08-19 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AP52CHFPZRSC4XJHZVKUIAZGM}

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	2026-07-05T01:59:57.311308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81fdd08e57e632172e93e6aaa20193321d8d58f47059ee5f4eacb390fecd117

Aliases

arxiv: 2008.08287 · arxiv_version: 2008.08287v3 · doi: 10.48550/arxiv.2008.08287 · pith_short_12: 3AP52CHFPZRS · pith_short_16: 3AP52CHFPZRSC4XJ · pith_short_8: 3AP52CHF

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/3AP52CHFPZRSC4XJHZVKUIAZGM \
  | 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: d81fdd08e57e632172e93e6aaa20193321d8d58f47059ee5f4eacb390fecd117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfd6086e7ad83f54699c10cae9ac7af8da6ccd0a555600a595e48a8dcb5e4de0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-08-19T06:36:36Z",
    "title_canon_sha256": "4f54b43ff43422709c1b65017e216c3df2fb3235dd817e713a8ddf5638255341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.08287",
    "kind": "arxiv",
    "version": 3
  }
}