Pith Number

pith:IBNRGSSC

pith:2013:IBNRGSSCOVZCHSAO5BOQ4JWU2E

not attested not anchored not stored refs pending

The Whittaker period formula on Metaplectic SL(2)

Yannan Qiu

arxiv:1308.2353 v3 · 2013-08-11 · 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{IBNRGSSCOVZCHSAO5BOQ4JWU2E}

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	2026-05-18T00:46:26.614782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405b134a42757223c80ee85d0e26d4d12167af19f5753f169e9c8618f0dd0fa7

Aliases

arxiv: 1308.2353 · arxiv_version: 1308.2353v3 · doi: 10.48550/arxiv.1308.2353 · pith_short_12: IBNRGSSCOVZC · pith_short_16: IBNRGSSCOVZCHSAO · pith_short_8: IBNRGSSC

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/IBNRGSSCOVZCHSAO5BOQ4JWU2E \
  | 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: 405b134a42757223c80ee85d0e26d4d12167af19f5753f169e9c8618f0dd0fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4bac16b8d26d4670d5e1b3de429ecc1a9097e6b64f66c793f1966e6f5d26eb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-11T00:10:53Z",
    "title_canon_sha256": "735c78d343f35ea95e9b3c596ea1d190aef3c7d08666df8fb924b5e79363d19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2353",
    "kind": "arxiv",
    "version": 3
  }
}