Pith Number

pith:Q3CKKFOC

pith:2018:Q3CKKFOCHA66UCV7OAUXUEM2ST

not attested not anchored not stored refs pending

Vanishing Theorem for the de Rham Complex of Unitary Local System

Hongshan Li

arxiv:1810.02747 v1 · 2018-10-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3CKKFOCHA66UCV7OAUXUEM2ST}

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	2026-05-18T00:04:00.749830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86c4a515c2383dea0abf70297a119a94d7dec1c86222e57e2fffdc9f28b98d21

Aliases

arxiv: 1810.02747 · arxiv_version: 1810.02747v1 · doi: 10.48550/arxiv.1810.02747 · pith_short_12: Q3CKKFOCHA66 · pith_short_16: Q3CKKFOCHA66UCV7 · pith_short_8: Q3CKKFOC

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/Q3CKKFOCHA66UCV7OAUXUEM2ST \
  | 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: 86c4a515c2383dea0abf70297a119a94d7dec1c86222e57e2fffdc9f28b98d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad814364822d2414e8c3422f1f49316fd4cd7f3a867c70fac406f8e32e0d4d5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-05T15:28:21Z",
    "title_canon_sha256": "2cb8f9aede9d65cd5b86f7fca991562ce2e93876368531027dd979270c17980d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02747",
    "kind": "arxiv",
    "version": 1
  }
}