Pith Number

pith:OOU7MTQD

pith:2003:OOU7MTQDQZDLAW6QD63NCFJPPW

not attested not anchored not stored refs pending

Beta-function of Bruhat--Tits buildings and deformation of $l_2$ on the space of lattices

Yurii A. Neretin

arxiv:math/0304172 v1 · 2003-04-14 · math.RT · 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{OOU7MTQDQZDLAW6QD63NCFJPPW}

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	2026-05-18T03:39:53.463232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a9f64e038646b05bd01fb6d1152f7db1bff3e37d1a50e66a29cceae4e3320a

Aliases

arxiv: math/0304172 · arxiv_version: math/0304172v1 · doi: 10.48550/arxiv.math/0304172 · pith_short_12: OOU7MTQDQZDL · pith_short_16: OOU7MTQDQZDLAW6Q · pith_short_8: OOU7MTQD

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/OOU7MTQDQZDLAW6QD63NCFJPPW \
  | 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: 73a9f64e038646b05bd01fb6d1152f7db1bff3e37d1a50e66a29cceae4e3320a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f57ae8e921b84b87329f73063181bcee7d6acc2e9cccb6ff81bef4b049c33e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-04-14T13:06:14Z",
    "title_canon_sha256": "141242642e36c07b1accd4fd6ff3be85d6f5a1db1afd84bea66b2c15e028238f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304172",
    "kind": "arxiv",
    "version": 1
  }
}