Pith Number

pith:UARANNE3

pith:2024:UARANNE3RWZWAWLOE2JI4LU7FQ

not attested not anchored not stored refs pending

Geometric Eisenstein series I: finiteness theorems

David Hansen, Linus Hamann, Peter Scholze

arxiv:2409.07363 v1 · 2024-09-11 · math.NT · math.AG · 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{UARANNE3RWZWAWLOE2JI4LU7FQ}

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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

On the Schematic and Analytic Constructions of the Local Langlands Category

Receipt and verification

First computed	2026-07-05T09:07:03.625084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a02206b49b8db360596e26928e2e9f2c3c2c86d5049caaa494934d54ac04551d

Aliases

arxiv: 2409.07363 · arxiv_version: 2409.07363v1 · doi: 10.48550/arxiv.2409.07363 · pith_short_12: UARANNE3RWZW · pith_short_16: UARANNE3RWZWAWLO · pith_short_8: UARANNE3

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/UARANNE3RWZWAWLOE2JI4LU7FQ \
  | 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: a02206b49b8db360596e26928e2e9f2c3c2c86d5049caaa494934d54ac04551d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e1a07f9b20774404070598d6c673a4396a26c40303a856f1ec8c4bca7b2826",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-11T15:51:18Z",
    "title_canon_sha256": "588e2f13e999d005c54fd9a820aced3ee46743be074c92256bb5602c5b5b55fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.07363",
    "kind": "arxiv",
    "version": 1
  }
}