Pith Number

pith:XCDPHLAX

pith:2023:XCDPHLAXLKZYBEK6OKRCJWVLOP

not attested not anchored not stored refs pending

Mixed mock modularity of special divisors

Fran\c{c}ois Greer, Philip Engel, Salim Tayou

arxiv:2301.05982 v2 · 2023-01-14 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCDPHLAXLKZYBEK6OKRCJWVLOP}

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

The cohomological Kudla conjecture for unitary Shimura varieties

Receipt and verification

First computed	2026-07-05T10:03:22.400425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b886f3ac175ab380915e72a224daab73d5dfb5e9815e2616f18565e052a74b58

Aliases

arxiv: 2301.05982 · arxiv_version: 2301.05982v2 · doi: 10.48550/arxiv.2301.05982 · pith_short_12: XCDPHLAXLKZY · pith_short_16: XCDPHLAXLKZYBEK6 · pith_short_8: XCDPHLAX

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/XCDPHLAXLKZYBEK6OKRCJWVLOP \
  | 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: b886f3ac175ab380915e72a224daab73d5dfb5e9815e2616f18565e052a74b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0aa36b70aa38da9db03baea3f5d3af711dd1dddc06e64879c4b39160b9b26e0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-01-14T21:45:05Z",
    "title_canon_sha256": "ef5c9b09188b141d664a2bff2e629f56627207f308702f6bdb27a53bbf696836"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05982",
    "kind": "arxiv",
    "version": 2
  }
}