Pith Number

pith:D4UXCZK2

pith:2015:D4UXCZK2NZPX4LVYDYDVMBU4EV

not attested not anchored not stored refs pending

Inductive structure of Shalika germs and affine Springer fibers

Cheng-Chiang Tsai

arxiv:1512.00445 v1 · 2015-12-01 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4UXCZK2NZPX4LVYDYDVMBU4EV}

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	2026-05-18T01:25:31.923209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2971655a6e5f7e2eb81e0756069c2547e5b7e51541e9bc88add678296629e5

Aliases

arxiv: 1512.00445 · arxiv_version: 1512.00445v1 · doi: 10.48550/arxiv.1512.00445 · pith_short_12: D4UXCZK2NZPX · pith_short_16: D4UXCZK2NZPX4LVY · pith_short_8: D4UXCZK2

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/D4UXCZK2NZPX4LVYDYDVMBU4EV \
  | 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: 1f2971655a6e5f7e2eb81e0756069c2547e5b7e51541e9bc88add678296629e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3822c374d290ef354ccf36bb027bac128716328a5a5c8f9c6ef1d9253dcb4718",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-01T20:56:11Z",
    "title_canon_sha256": "3efcf952ec51a85e777796ee0382bc5eb69aa980ed20fb200568f7a0fff00db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00445",
    "kind": "arxiv",
    "version": 1
  }
}