Pith Number

pith:ZL2LI7OH

pith:2012:ZL2LI7OHD5VPPRJBZX7JCSJPW4

not attested not anchored not stored refs pending

From \'etale $P_{+}$-representations to $G$-equivariant sheaves on $G/P$

Gergely Zabradi, Marie-France Vigneras, Peter Schneider

arxiv:1206.1125 v1 · 2012-06-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL2LI7OHD5VPPRJBZX7JCSJPW4}

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	2026-05-18T02:31:02.588038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf4b47dc71f6af7c521cdfe91492fb72dfd6b5492edfcaaf2919b81c94ddb41

Aliases

arxiv: 1206.1125 · arxiv_version: 1206.1125v1 · doi: 10.48550/arxiv.1206.1125 · pith_short_12: ZL2LI7OHD5VP · pith_short_16: ZL2LI7OHD5VPPRJB · pith_short_8: ZL2LI7OH

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/ZL2LI7OHD5VPPRJBZX7JCSJPW4 \
  | 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: caf4b47dc71f6af7c521cdfe91492fb72dfd6b5492edfcaaf2919b81c94ddb41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7e0c98b758dac6527387714f2f5a13408aaf9ef03039a5688738fd8d3593b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-06T06:16:52Z",
    "title_canon_sha256": "1c192f613ec899169bf1c91ab0744e70edb37e3451ee8173d9518c7e58ea09ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1125",
    "kind": "arxiv",
    "version": 1
  }
}