Pith Number

pith:6H26F7DA

pith:2009:6H26F7DA5IPGXTSU2FBIV64J3L

not attested not anchored not stored refs pending

L-functions of symmetric powers of the generalized Airy family of exponential sums: ell-adic and p-adic methods

Antonio Rojas-Leon, C. Douglas Haessig

arxiv:0908.1240 v2 · 2009-08-09 · 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{6H26F7DA5IPGXTSU2FBIV64J3L}

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	2026-05-18T04:42:43.311196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f5e2fc60ea1e6bce54d1428afb89dae9bf449611dbfe77bad022736fef14e6

Aliases

arxiv: 0908.1240 · arxiv_version: 0908.1240v2 · doi: 10.48550/arxiv.0908.1240 · pith_short_12: 6H26F7DA5IPG · pith_short_16: 6H26F7DA5IPGXTSU · pith_short_8: 6H26F7DA

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/6H26F7DA5IPGXTSU2FBIV64J3L \
  | 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: f1f5e2fc60ea1e6bce54d1428afb89dae9bf449611dbfe77bad022736fef14e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4e4329a320c9b5fc47307e404f955327c7fdc5f448948ac8af6a8b5b5e21d68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-08-09T15:18:53Z",
    "title_canon_sha256": "1dc3bc1e5409f1e9c84c3c2ab715920e2f5fe9560edce5862fd114fcda8cd474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1240",
    "kind": "arxiv",
    "version": 2
  }
}