Pith Number

pith:ILPSARCF

pith:2016:ILPSARCFEU5K46FLFZ3DFYXC76

not attested not anchored not stored refs pending

On the length of global integrals for $GL_n$

David Ginzburg

arxiv:1609.05451 v1 · 2016-09-18 · 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{ILPSARCFEU5K46FLFZ3DFYXC76}

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	2026-05-18T01:04:26.360269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42df204445253aae78ab2e7632e2e2ffbbc095ba00f4618a553e5e5a47e8968d

Aliases

arxiv: 1609.05451 · arxiv_version: 1609.05451v1 · doi: 10.48550/arxiv.1609.05451 · pith_short_12: ILPSARCFEU5K · pith_short_16: ILPSARCFEU5K46FL · pith_short_8: ILPSARCF

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/ILPSARCFEU5K46FLFZ3DFYXC76 \
  | 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: 42df204445253aae78ab2e7632e2e2ffbbc095ba00f4618a553e5e5a47e8968d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7c1c82f81c0ef79bfef8bc9da85d56a10a7e2d030e8f2d0fc50679da9cc172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-18T08:46:23Z",
    "title_canon_sha256": "43c82e6aa43d1a2141fe1a4b757da87b24f7a0aae0d16befc48f56b19df37573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05451",
    "kind": "arxiv",
    "version": 1
  }
}