Pith Number

pith:T22OUZWH

pith:2008:T22OUZWHRXCGIOZUPELEXZYSYA

not attested not anchored not stored refs pending

On the appearance of Eisenstein series through degeneration

Dan Garbin, Jay Jorgenson, Michael Munn

arxiv:0801.3492 v1 · 2008-01-23 · 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{T22OUZWHRXCGIOZUPELEXZYSYA}

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	2026-05-18T02:16:01.628769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb4ea66c78dc4643b3479164be712c01e1d57c7174501a6eae631b23fb86fc7

Aliases

arxiv: 0801.3492 · arxiv_version: 0801.3492v1 · doi: 10.48550/arxiv.0801.3492 · pith_short_12: T22OUZWHRXCG · pith_short_16: T22OUZWHRXCGIOZU · pith_short_8: T22OUZWH

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/T22OUZWHRXCGIOZUPELEXZYSYA \
  | 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: 9eb4ea66c78dc4643b3479164be712c01e1d57c7174501a6eae631b23fb86fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0642908dc001ea3fe2cd266eaaf1155aa18fe787e485e41735ead5f8162efcea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2008-01-23T18:23:08Z",
    "title_canon_sha256": "e7993287f5a095fc0a6dcc095afd256e44b35f2a7ba891ac898c4b3c3a934db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3492",
    "kind": "arxiv",
    "version": 1
  }
}