Pith Number

pith:AVF5MCHC

pith:2008:AVF5MCHCEZ4U5IBWBPRYXIXF5G

not attested not anchored not stored refs pending

Explicit calculations of automorphic forms for definite unitary groups

David Loeffler

arxiv:0801.3176 v3 · 2008-01-21 · 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{AVF5MCHCEZ4U5IBWBPRYXIXF5G}

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	2026-05-18T04:24:06.504571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054bd608e226794ea0360be38ba2e5e98e183e994d81a099b31716a3fb87eae0

Aliases

arxiv: 0801.3176 · arxiv_version: 0801.3176v3 · doi: 10.48550/arxiv.0801.3176 · pith_short_12: AVF5MCHCEZ4U · pith_short_16: AVF5MCHCEZ4U5IBW · pith_short_8: AVF5MCHC

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/AVF5MCHCEZ4U5IBWBPRYXIXF5G \
  | 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: 054bd608e226794ea0360be38ba2e5e98e183e994d81a099b31716a3fb87eae0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "623591221b43819c80b8ba3918657190b8a9712691a413f1426696d42f79cf81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-01-21T11:56:43Z",
    "title_canon_sha256": "0d6a39dd70aed6b8baf3cd007a6bbf800981f6b7c342a78ae45f4865582243d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3176",
    "kind": "arxiv",
    "version": 3
  }
}