Pith Number

pith:ZZ3756MF

pith:2013:ZZ3756MFKA5HLX3IJ5INQQ7O2X

not attested not anchored not stored refs pending

Whittaker periods, motivic periods, and special values of tensor product L-functions

Harald Grobner, Michael Harris

arxiv:1308.5090 v2 · 2013-08-23 · 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{ZZ3756MFKA5HLX3IJ5INQQ7O2X}

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	2026-05-17T23:53:15.163879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce77fef985503a75df684f50d843eed5f0f12c8a463a3443819c25a37da82642

Aliases

arxiv: 1308.5090 · arxiv_version: 1308.5090v2 · doi: 10.48550/arxiv.1308.5090 · pith_short_12: ZZ3756MFKA5H · pith_short_16: ZZ3756MFKA5HLX3I · pith_short_8: ZZ3756MF

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/ZZ3756MFKA5HLX3IJ5INQQ7O2X \
  | 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: ce77fef985503a75df684f50d843eed5f0f12c8a463a3443819c25a37da82642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48872e1d09aca6f978a3b75372120a5e3d87343b775d9d19c131089ee5707ef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-23T10:19:00Z",
    "title_canon_sha256": "ebc68a9cbcb15bcfd1baf452b7d7fb264910f5dcf3dad3f5997e2716b9bca29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5090",
    "kind": "arxiv",
    "version": 2
  }
}