Pith Number

pith:HDMLHEJ6

pith:2013:HDMLHEJ6ATVXOEUML3PL4J3AQZ

not attested not anchored not stored refs pending

Triple Shifted Sums of Automorphic L-Functions

Thomas A. Hulse

arxiv:1308.4927 v1 · 2013-08-22 · 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{HDMLHEJ6ATVXOEUML3PL4J3AQZ}

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	2026-05-18T03:15:19.337432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38d8b3913e04eb77128c5edebe27608676906efb84ce6d950a6da87ae90f09ea

Aliases

arxiv: 1308.4927 · arxiv_version: 1308.4927v1 · doi: 10.48550/arxiv.1308.4927 · pith_short_12: HDMLHEJ6ATVX · pith_short_16: HDMLHEJ6ATVXOEUM · pith_short_8: HDMLHEJ6

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/HDMLHEJ6ATVXOEUML3PL4J3AQZ \
  | 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: 38d8b3913e04eb77128c5edebe27608676906efb84ce6d950a6da87ae90f09ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcb7c7e26f87cb3d164013990b3de3e9a33d41e067e772b67b88bb8fde95218d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-22T17:25:03Z",
    "title_canon_sha256": "0172cb15b4ad4b6483d4b3a36347087811f4be7252114feaccefb1d95445e61b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4927",
    "kind": "arxiv",
    "version": 1
  }
}