Pith Number

pith:6LCGIXAT

pith:2020:6LCGIXATOMEX54OC5M7Y66HHK5

not attested not anchored not stored refs pending

A generalization of Nadel vanishing theorem

Xiangyu Zhou, Xiankui Meng

arxiv:2011.09637 v1 · 2020-11-19 · 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{6LCGIXATOMEX54OC5M7Y66HHK5}

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	2026-07-05T01:52:50.622949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c4645c1373097ef1c2eb3f8f78e7576b6cb113eb3f20800ccb6721b6b5415c

Aliases

arxiv: 2011.09637 · arxiv_version: 2011.09637v1 · doi: 10.48550/arxiv.2011.09637 · pith_short_12: 6LCGIXATOMEX · pith_short_16: 6LCGIXATOMEX54OC · pith_short_8: 6LCGIXAT

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/6LCGIXATOMEX54OC5M7Y66HHK5 \
  | 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: f2c4645c1373097ef1c2eb3f8f78e7576b6cb113eb3f20800ccb6721b6b5415c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "076190bfd85e7a5efd077598967d77768e1f4b859b8c2a99253473a31a13ad60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2020-11-19T03:59:09Z",
    "title_canon_sha256": "1cd5cb738d187c443a3d221706ab3e0b5de309fa821bd7c841db8c9012a67262"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09637",
    "kind": "arxiv",
    "version": 1
  }
}