Pith Number

pith:GNPHJXBE

pith:2015:GNPHJXBE3NWVDEKPTMBI23KFY5

not attested not anchored not stored refs pending

Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirkovic-Vilonen conjecture

Carl Mautner, Simon Riche

arxiv:1501.07369 v3 · 2015-01-29 · 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{GNPHJXBE3NWVDEKPTMBI23KFY5}

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	2026-05-18T01:11:41.421053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335e74dc24db6d51914f9b028d6d45c757630678e9ac1015e64c143add975bc4

Aliases

arxiv: 1501.07369 · arxiv_version: 1501.07369v3 · doi: 10.48550/arxiv.1501.07369 · pith_short_12: GNPHJXBE3NWV · pith_short_16: GNPHJXBE3NWVDEKP · pith_short_8: GNPHJXBE

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/GNPHJXBE3NWVDEKPTMBI23KFY5 \
  | 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: 335e74dc24db6d51914f9b028d6d45c757630678e9ac1015e64c143add975bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039ddfb73f43a6f2cf97cc9040f67db7f87038bcc98c5b8797ed649956e46491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-29T08:12:06Z",
    "title_canon_sha256": "3f00570cb9706aa06e4e9c3e6a642e8f9e416575d6082b934d28850f0ffbf4a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07369",
    "kind": "arxiv",
    "version": 3
  }
}