Pith Number

pith:RFQMUG2N

pith:2018:RFQMUG2NTFSMKVTPEGIC5DVV4S

not attested not anchored not stored refs pending

Cuspidal cohomology of stacks of shtukas

Cong Xue

arxiv:1802.01362 v5 · 2018-02-05 · math.AG · 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{RFQMUG2NTFSMKVTPEGIC5DVV4S}

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	2026-07-05T01:03:56.957088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8960ca1b4d9964c5566f21902e8eb5e4b1c1a286d83f4d7b1184a50de71f9a3b

Aliases

arxiv: 1802.01362 · arxiv_version: 1802.01362v5 · doi: 10.48550/arxiv.1802.01362 · pith_short_12: RFQMUG2NTFSM · pith_short_16: RFQMUG2NTFSMKVTP · pith_short_8: RFQMUG2N

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/RFQMUG2NTFSMKVTPEGIC5DVV4S \
  | 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: 8960ca1b4d9964c5566f21902e8eb5e4b1c1a286d83f4d7b1184a50de71f9a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f01c842ff4c178be9e58c66978067ad9129b6757c1c85114ff4faa7ac2783a",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-05T12:12:58Z",
    "title_canon_sha256": "9ef3132eacb698c9e5175d090a25a189653e7d7d523067c92b4e227aec5b4a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01362",
    "kind": "arxiv",
    "version": 5
  }
}