Pith Number

pith:VA3HVIVQ

pith:2018:VA3HVIVQYARJJ56CGAUPTKOWBF

not attested not anchored not stored refs pending

Relative trace formula for compact quotient and pseudocoefficients for relative discrete series

Pascale Harinck, Patrick Delorme

arxiv:1803.07511 v1 · 2018-03-20 · 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{VA3HVIVQYARJJ56CGAUPTKOWBF}

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	2026-05-18T00:20:32.957465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8367aa2b0c02294f7c23028f9a9d60979deba5d7c1a61f2f12b8ffcc4abb3a0

Aliases

arxiv: 1803.07511 · arxiv_version: 1803.07511v1 · doi: 10.48550/arxiv.1803.07511 · pith_short_12: VA3HVIVQYARJ · pith_short_16: VA3HVIVQYARJJ56C · pith_short_8: VA3HVIVQ

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/VA3HVIVQYARJJ56CGAUPTKOWBF \
  | 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: a8367aa2b0c02294f7c23028f9a9d60979deba5d7c1a61f2f12b8ffcc4abb3a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293237a3cce0cd98a529b122541cae75de5fd721dd0a81e32f84cfaefe3d68e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-03-20T16:24:17Z",
    "title_canon_sha256": "5841ba5a206c2525655032cfc4b75f0289bc710fd3a684d45c97b20c6c9b4601"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07511",
    "kind": "arxiv",
    "version": 1
  }
}