Pith Number

pith:TOJKRS5F

pith:2001:TOJKRS5FQD7AL43XPWY24HLCPP

not attested not anchored not stored refs pending

Groups of hierarchomorphisms of trees and related Hilbert spaces

Yurii A. Neretin

arxiv:math/0106243 v1 · 2001-06-28 · math.RT · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOJKRS5FQD7AL43XPWY24HLCPP}

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	2026-05-18T03:36:25.482361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b92a8cba580fe05f3777db1ae1d627bdff3bd91192f1562ed8e684ec35c9f72

Aliases

arxiv: math/0106243 · arxiv_version: math/0106243v1 · doi: 10.48550/arxiv.math/0106243 · pith_short_12: TOJKRS5FQD7A · pith_short_16: TOJKRS5FQD7AL43X · pith_short_8: TOJKRS5F

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/TOJKRS5FQD7AL43XPWY24HLCPP \
  | 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: 9b92a8cba580fe05f3777db1ae1d627bdff3bd91192f1562ed8e684ec35c9f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "033722365c6655efbc029820acfbb8fcd196b7a492d90a4896764ce51be4a4ac",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2001-06-28T09:56:46Z",
    "title_canon_sha256": "e878729a9a3d3d2cb77ae1ee73616ea38173651a4cc8ac5f978890e768d988d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106243",
    "kind": "arxiv",
    "version": 1
  }
}