Pith Number

pith:JRQHD4NQ

pith:2012:JRQHD4NQVS6KMBVAPCFPS4Y4XF

not attested not anchored not stored refs pending

Functional relations for zeta-functions of weight lattices of Lie groups of type $A_3$

Hirofumi Tsumura, Kohji Matsumoto, Yasushi Komori

arxiv:1202.0874 v1 · 2012-02-04 · 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{JRQHD4NQVS6KMBVAPCFPS4Y4XF}

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	2026-05-18T02:43:54.577420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c6071f1b0acbca606a0788af9731cb972a4a38791b09ea991685367cfb64c70

Aliases

arxiv: 1202.0874 · arxiv_version: 1202.0874v1 · doi: 10.48550/arxiv.1202.0874 · pith_short_12: JRQHD4NQVS6K · pith_short_16: JRQHD4NQVS6KMBVA · pith_short_8: JRQHD4NQ

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/JRQHD4NQVS6KMBVAPCFPS4Y4XF \
  | 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: 4c6071f1b0acbca606a0788af9731cb972a4a38791b09ea991685367cfb64c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "384153ed297b862f8e7345cdab1a7db02c5626f7f695e845f778bfc057577a8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-04T05:57:56Z",
    "title_canon_sha256": "91be8ccdf5c5f7e1106c4d41f7d130dd74dd394c483275e5b358849f3febd6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0874",
    "kind": "arxiv",
    "version": 1
  }
}