Pith Number

pith:KUUP6LMC

pith:2000:KUUP6LMCH3LIZFOYFW3ZEKDTJE

not attested not anchored not stored refs pending

Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group

Yehuda Shalom

arxiv:math/0007204 v1 · 2000-07-01 · 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{KUUP6LMCH3LIZFOYFW3ZEKDTJE}

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	2026-05-18T01:05:38.411540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5528ff2d823ed68c95d82db7922873492cd5e1939966eaf1d81077489697c795

Aliases

arxiv: math/0007204 · arxiv_version: math/0007204v1 · doi: 10.48550/arxiv.math/0007204 · pith_short_12: KUUP6LMCH3LI · pith_short_16: KUUP6LMCH3LIZFOY · pith_short_8: KUUP6LMC

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/KUUP6LMCH3LIZFOYFW3ZEKDTJE \
  | 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: 5528ff2d823ed68c95d82db7922873492cd5e1939966eaf1d81077489697c795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a9ac3e43403248e4ec97ad25e805fd64ebb0461cebafa459ba7d36f4ac1143",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2000-07-01T00:00:00Z",
    "title_canon_sha256": "204ceb1e3bd9c63af008689a1671924a01c7c351502d2e0446e2935e4dabb983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007204",
    "kind": "arxiv",
    "version": 1
  }
}