Pith Number

pith:GLAMIDZJ

pith:2018:GLAMIDZJCY63KMBDL6WOJEQI5O

not attested not anchored not stored refs pending

Application of Cheeger-Gromov theory to the $l^2$-cohomology of harmonic Higgs bundles over covering of finite volume complete manifolds

Georg Schumacher, Pascal Dingoyan

arxiv:1810.03863 v1 · 2018-10-09 · 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{GLAMIDZJCY63KMBDL6WOJEQI5O}

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	2026-05-18T00:03:44.378176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c0c40f29163db530235face49208eb898a909deb47679c12a06f5a8d1a375b

Aliases

arxiv: 1810.03863 · arxiv_version: 1810.03863v1 · doi: 10.48550/arxiv.1810.03863 · pith_short_12: GLAMIDZJCY63 · pith_short_16: GLAMIDZJCY63KMBD · pith_short_8: GLAMIDZJ

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/GLAMIDZJCY63KMBDL6WOJEQI5O \
  | 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: 32c0c40f29163db530235face49208eb898a909deb47679c12a06f5a8d1a375b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4092fd1acdec12d4eacc047af34739deadc06b7eb28248efa4ec5d81ed4e42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-10-09T08:50:14Z",
    "title_canon_sha256": "21aa0756588dec3712983cbfaa79ff4bb8756f1192983b5d5cfb630fa0c6944f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03863",
    "kind": "arxiv",
    "version": 1
  }
}