Pith Number

pith:F5Y2GQBD

pith:2019:F5Y2GQBDBID323S3SRZQCRKH4A

not attested not anchored not stored refs pending

The special value $u=1$ of Artin-Ihara $L$-functions

Daniel Valli\`eres, Jonathan W. Sands, Kyle Hammer, Thomas W. Mattman

arxiv:1907.04910 v1 · 2019-07-10 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5Y2GQBDBID323S3SRZQCRKH4A}

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	2026-05-17T23:40:54.540886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f71a340230a07bd6e5b9473014547e030c6c7fcf528840720d1c83c6801ecb1

Aliases

arxiv: 1907.04910 · arxiv_version: 1907.04910v1 · doi: 10.48550/arxiv.1907.04910 · pith_short_12: F5Y2GQBDBID3 · pith_short_16: F5Y2GQBDBID323S3 · pith_short_8: F5Y2GQBD

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/F5Y2GQBDBID323S3SRZQCRKH4A \
  | 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: 2f71a340230a07bd6e5b9473014547e030c6c7fcf528840720d1c83c6801ecb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39b9b5ac65072a166f169bb149edfefb0b701a3820f93c86c6d61362d979dd27",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-10T20:24:38Z",
    "title_canon_sha256": "0b540676891e6b1d071b77d8e03b8928507bbae138509474062be4076b60f852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04910",
    "kind": "arxiv",
    "version": 1
  }
}