Pith Number

pith:ME4BVLWC

pith:2025:ME4BVLWCVLRPXCX4SRTYIE4SL4

not attested not anchored not stored refs pending

Hodge decomposition of L_2-cohomology and intersection cohomology of a Shimura variety

Eduard Looijenga

arxiv:2501.19253 v2 · 2025-01-31 · 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{ME4BVLWCVLRPXCX4SRTYIE4SL4}

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	2026-05-26T02:04:59.552947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61381aaec2aae2fb8afc94678413925f015bd7abbfd68f96a478db8d4a54cb9f

Aliases

arxiv: 2501.19253 · arxiv_version: 2501.19253v2 · doi: 10.48550/arxiv.2501.19253 · pith_short_12: ME4BVLWCVLRP · pith_short_16: ME4BVLWCVLRPXCX4 · pith_short_8: ME4BVLWC

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/ME4BVLWCVLRPXCX4SRTYIE4SL4 \
  | 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: 61381aaec2aae2fb8afc94678413925f015bd7abbfd68f96a478db8d4a54cb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca499cab9320b50e6fce824ac35b34bfb9c2f8d8677ac286a0fd6043cc74a0b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-31T16:10:37Z",
    "title_canon_sha256": "4fd81592aaf864a4e84c9f5b93d1bc492a206756d5aa3843dbc5c2b230a7e22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.19253",
    "kind": "arxiv",
    "version": 2
  }
}