Pith Number

pith:4PNYGHXN

pith:2015:4PNYGHXNCSRSKHBICHOZQWU3WA

not attested not anchored not stored refs pending

Differential operators and families of automorphic forms on unitary groups of arbitrary signature

Elena Mantovan, Ellen Eischen, Ila Varma, Jessica Fintzen

arxiv:1511.06771 v4 · 2015-11-20 · 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{4PNYGHXNCSRSKHBICHOZQWU3WA}

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	2026-05-18T00:06:06.604570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3db831eed14a3251c2811dd985a9bb029588a315c48bdb79407aea9a6442a98

Aliases

arxiv: 1511.06771 · arxiv_version: 1511.06771v4 · doi: 10.48550/arxiv.1511.06771 · pith_short_12: 4PNYGHXNCSRS · pith_short_16: 4PNYGHXNCSRSKHBI · pith_short_8: 4PNYGHXN

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/4PNYGHXNCSRSKHBICHOZQWU3WA \
  | 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: e3db831eed14a3251c2811dd985a9bb029588a315c48bdb79407aea9a6442a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e82a7c17fa90cafe31306858cab0490149eb232cd31dad89d6572b6b8ac569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-20T21:06:26Z",
    "title_canon_sha256": "ae8e9f2724d64a52eae94c4af6ebaf20065bd6eef59af660c804d1f35db7b8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06771",
    "kind": "arxiv",
    "version": 4
  }
}