Pith Number

pith:WLB2U7BF

pith:2011:WLB2U7BF73SX7YTQOVFHUOXIIE

not attested not anchored not stored refs pending

Eisenstein Series on Loop Groups

Dongwen Liu

arxiv:1103.4212 v2 · 2011-03-22 · 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{WLB2U7BF73SX7YTQOVFHUOXIIE}

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	2026-05-18T02:16:51.632671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c3aa7c25fee57fe270754a7a3ae8410b228daf98f22da30f7cbf3ca34235dc

Aliases

arxiv: 1103.4212 · arxiv_version: 1103.4212v2 · doi: 10.48550/arxiv.1103.4212 · pith_short_12: WLB2U7BF73SX · pith_short_16: WLB2U7BF73SX7YTQ · pith_short_8: WLB2U7BF

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/WLB2U7BF73SX7YTQOVFHUOXIIE \
  | 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: b2c3aa7c25fee57fe270754a7a3ae8410b228daf98f22da30f7cbf3ca34235dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520a52b5464f961bdeaf14db501ff824a1e313a6d5c36859c680c62baa38d2c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-03-22T06:49:11Z",
    "title_canon_sha256": "72150cc9c67dc7cebc7d436c42dee4be1c7239dac1b613cd53954092c006ceeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4212",
    "kind": "arxiv",
    "version": 2
  }
}