Pith Number

pith:DME4POUZ

pith:2015:DME4POUZPPJ4MSNTG2CX6S7FT6

not attested not anchored not stored refs pending

Eisenstein series and quantum groups

Dennis Gaitsgory

arxiv:1505.02329 v3 · 2015-05-10 · 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{DME4POUZPPJ4MSNTG2CX6S7FT6}

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

Note on factorization categories

Receipt and verification

First computed	2026-05-18T01:14:18.114499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b09c7ba997bd3c649b336857f4be59fb839a938a6508dccaefb54abb36e76af

Aliases

arxiv: 1505.02329 · arxiv_version: 1505.02329v3 · doi: 10.48550/arxiv.1505.02329 · pith_short_12: DME4POUZPPJ4 · pith_short_16: DME4POUZPPJ4MSNT · pith_short_8: DME4POUZ

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/DME4POUZPPJ4MSNTG2CX6S7FT6 \
  | 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: 1b09c7ba997bd3c649b336857f4be59fb839a938a6508dccaefb54abb36e76af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285770cc432076f0d543a956767deeb02401bec88caf1cc4d6d04b9c6528f52f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-10T00:04:54Z",
    "title_canon_sha256": "64a32174039e8573fc4a0973dd7163738b99023d66da363a851f5106cc3debeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02329",
    "kind": "arxiv",
    "version": 3
  }
}