Pith Number

pith:DX2HG2UV

pith:2011:DX2HG2UV5P2KAYZCIB64DQRLHY

not attested not anchored not stored refs pending

$L^2$ and intersection cohomologies for the reductive representation of the fundamental groups of quasiprojective manifolds with unipotent local monodromy

Kang Zuo, Xuanming Ye

arxiv:1111.3825 v3 · 2011-11-16 · math.DG · 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{DX2HG2UV5P2KAYZCIB64DQRLHY}

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	2026-05-18T03:51:23.665803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df4736a95ebf4a06322407dc1c22b3e3a3dd9671157ee4a026f85c920d5531a

Aliases

arxiv: 1111.3825 · arxiv_version: 1111.3825v3 · doi: 10.48550/arxiv.1111.3825 · pith_short_12: DX2HG2UV5P2K · pith_short_16: DX2HG2UV5P2KAYZC · pith_short_8: DX2HG2UV

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/DX2HG2UV5P2KAYZCIB64DQRLHY \
  | 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: 1df4736a95ebf4a06322407dc1c22b3e3a3dd9671157ee4a026f85c920d5531a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a233f50f6fa4b753903867fad4d4b2cb83174a3ce97bea253d97ad51cb6433",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-16T14:56:51Z",
    "title_canon_sha256": "2623300babfb678058e83f8709d21ee64a455f4023d308bc0cdee9342d17c3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3825",
    "kind": "arxiv",
    "version": 3
  }
}