Pith Number

pith:72IMWDMI

pith:2023:72IMWDMISIZMRNVRMANNYAHLJ5

not attested not anchored not stored refs pending

Elliptic classes via the periodic Hecke module and its Langlands dual

Changlong Zhong, Cristian Lenart, Gufang Zhao

arxiv:2309.09140 v2 · 2023-09-17 · math.AG · math.KT · 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{72IMWDMISIZMRNVRMANNYAHLJ5}

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.

Cited by

1 paper in Pith

Billey-Type Formula for KL-Schubert Classes in Hyperbolic Cohomology

Receipt and verification

First computed	2026-06-19T16:11:07.743355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe90cb0d889232c8b6b1601adc00eb4f6bef4557977fb3c8585cebed1e71f29d

Aliases

arxiv: 2309.09140 · arxiv_version: 2309.09140v2 · doi: 10.48550/arxiv.2309.09140 · pith_short_12: 72IMWDMISIZM · pith_short_16: 72IMWDMISIZMRNVR · pith_short_8: 72IMWDMI

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/72IMWDMISIZMRNVRMANNYAHLJ5 \
  | 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: fe90cb0d889232c8b6b1601adc00eb4f6bef4557977fb3c8585cebed1e71f29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b016ab8a8714b72a99e99f9261fa587ca16add9244c14a5810534c65b66aab7",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-17T02:55:07Z",
    "title_canon_sha256": "9a72fecb6f582693ef1dc07ea5b0badbd28c5c9285513d23d73cb35a198935e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.09140",
    "kind": "arxiv",
    "version": 2
  }
}