Pith Number

pith:IUXVUZHV

pith:2016:IUXVUZHVIQA7U6PB4DW4W7OTHM

not attested not anchored not stored refs pending

A local relative trace formula for PGL(2)

Pascale Harinck, Patrick Delorme

arxiv:1608.08475 v1 · 2016-08-30 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUXVUZHVIQA7U6PB4DW4W7OTHM}

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	2026-05-18T00:20:57.270116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

452f5a64f54401fa79e1e0edcb7dd33b2121f7ecb042839afd418a13553e5222

Aliases

arxiv: 1608.08475 · arxiv_version: 1608.08475v1 · doi: 10.48550/arxiv.1608.08475 · pith_short_12: IUXVUZHVIQA7 · pith_short_16: IUXVUZHVIQA7U6PB · pith_short_8: IUXVUZHV

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/IUXVUZHVIQA7U6PB4DW4W7OTHM \
  | 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: 452f5a64f54401fa79e1e0edcb7dd33b2121f7ecb042839afd418a13553e5222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b6aaea0125ad9cb1a8ffe7de28bfae50e1de685b85e4420e238862ffe61fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-30T14:35:32Z",
    "title_canon_sha256": "083c8f17f8ac7fbeec7e8d5c2a9fbb872fd2d2f7aa2385430f1d679282426d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08475",
    "kind": "arxiv",
    "version": 1
  }
}