Pith Number

pith:MRCFIMUV

pith:2016:MRCFIMUVYK7XT4YYPZXXXATFIQ

not attested not anchored not stored refs pending

Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case

Haoran Wang, Yongquan Hu

arxiv:1608.07992 v2 · 2016-08-29 · math.NT · 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{MRCFIMUVYK7XT4YYPZXXXATFIQ}

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	2026-05-18T00:50:29.215148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6444543295c2bf79f3187e6f7b8265441b955d5cf2834b71fc364369a40a5431

Aliases

arxiv: 1608.07992 · arxiv_version: 1608.07992v2 · doi: 10.48550/arxiv.1608.07992 · pith_short_12: MRCFIMUVYK7X · pith_short_16: MRCFIMUVYK7XT4YY · pith_short_8: MRCFIMUV

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/MRCFIMUVYK7XT4YYPZXXXATFIQ \
  | 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: 6444543295c2bf79f3187e6f7b8265441b955d5cf2834b71fc364369a40a5431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1601c148f2ad15649a4ed4de6cdab76233a20694cd58c03f5d4156b0744b79a4",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-29T10:55:45Z",
    "title_canon_sha256": "b91a1b1991ca2cde5a365d1438c69d73ed6a2c0b88069d445437b2a6034f3c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07992",
    "kind": "arxiv",
    "version": 2
  }
}