Pith Number

pith:JS2ECHIE

pith:2010:JS2ECHIESL2CLQTYNT4L4NJ2IN

not attested not anchored not stored refs pending

Hilbert space compression under direct limits and certain group extensions

Dennis Dreesen

arxiv:1009.2014 v2 · 2010-09-10 · 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{JS2ECHIESL2CLQTYNT4L4NJ2IN}

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	2026-05-18T04:40:56.978175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb4411d0492f425c2786cf8be353a436efa96989026e2cafa32a29d5def474b

Aliases

arxiv: 1009.2014 · arxiv_version: 1009.2014v2 · doi: 10.48550/arxiv.1009.2014 · pith_short_12: JS2ECHIESL2C · pith_short_16: JS2ECHIESL2CLQTY · pith_short_8: JS2ECHIE

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/JS2ECHIESL2CLQTYNT4L4NJ2IN \
  | 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: 4cb4411d0492f425c2786cf8be353a436efa96989026e2cafa32a29d5def474b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d4fdfed9955a5128bcb07dd51857c1d68001bde2fbe32ac36c946cb5699fa36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-10T13:44:13Z",
    "title_canon_sha256": "d1f171fb63d7012a37cd4801ba781f32fc9c08be6ea0d3f4cc6efe0fdb2058d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2014",
    "kind": "arxiv",
    "version": 2
  }
}