Pith Number

pith:PNVE6LFU

pith:2018:PNVE6LFU57QR3ULCFLVI7LDPMD

not attested not anchored not stored refs pending

The stabilization of the Frobenius--Hecke traces on the intersection cohomology of orthogonal Shimura varieties

Yihang Zhu

arxiv:1801.09404 v3 · 2018-01-29 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNVE6LFU57QR3ULCFLVI7LDPMD}

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	2026-07-05T07:22:10.047713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6a4f2cb4efe11dd1622aea8fac6f60e0516c580b809ac15dd76d10fd7d0ea4

Aliases

arxiv: 1801.09404 · arxiv_version: 1801.09404v3 · doi: 10.48550/arxiv.1801.09404 · pith_short_12: PNVE6LFU57QR · pith_short_16: PNVE6LFU57QR3ULC · pith_short_8: PNVE6LFU

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/PNVE6LFU57QR3ULCFLVI7LDPMD \
  | 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: 7b6a4f2cb4efe11dd1622aea8fac6f60e0516c580b809ac15dd76d10fd7d0ea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78319b1ba8b2bdaacc4e1cb9a2f8723a629d6ec5752c3904efd326e4a930b4a",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-29T08:57:46Z",
    "title_canon_sha256": "188f152e62b2f8aa7a767d37737de026ea94b48a5f95e889d160d1b0eb8258f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09404",
    "kind": "arxiv",
    "version": 3
  }
}