Pith Number

pith:3UEU3P5Q

pith:2016:3UEU3P5QQLM2Q2BI3IEFNSZGNG

not attested not anchored not stored refs pending

The balanced Voronoi formulas for GL(n)

Fan Zhou, Stephen D. Miller

arxiv:1612.04886 v2 · 2016-12-14 · 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{3UEU3P5QQLM2Q2BI3IEFNSZGNG}

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	2026-05-18T00:33:52.890796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd094dbfb082d9a86828da0856cb2669a77b5928771e53b2c47c9f14c8f2c10a

Aliases

arxiv: 1612.04886 · arxiv_version: 1612.04886v2 · doi: 10.48550/arxiv.1612.04886 · pith_short_12: 3UEU3P5QQLM2 · pith_short_16: 3UEU3P5QQLM2Q2BI · pith_short_8: 3UEU3P5Q

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/3UEU3P5QQLM2Q2BI3IEFNSZGNG \
  | 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: dd094dbfb082d9a86828da0856cb2669a77b5928771e53b2c47c9f14c8f2c10a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984fb1832ae63433d9d6983d81949d668070e8d73bac1753332d76d9dda8f86e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-14T23:50:02Z",
    "title_canon_sha256": "10c525911afa88ffacf323befe6ab6eb0ccc53321b7511a47727516841df1329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04886",
    "kind": "arxiv",
    "version": 2
  }
}