Pith Number

pith:AUSPU3N7

pith:2013:AUSPU3N7ZRDXKGA5JP2UPSRBLR

not attested not anchored not stored refs pending

$L^p$ compression of some HNN extensions

Pierre-Nicolas Jolissaint, Thibault Pillon

arxiv:1306.0412 v2 · 2013-06-03 · 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{AUSPU3N7ZRDXKGA5JP2UPSRBLR}

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	2026-05-18T03:21:44.956239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0524fa6dbfcc4775181d4bf547ca215c7461ace1829c1aa30f00bbeccb78a63e

Aliases

arxiv: 1306.0412 · arxiv_version: 1306.0412v2 · doi: 10.48550/arxiv.1306.0412 · pith_short_12: AUSPU3N7ZRDX · pith_short_16: AUSPU3N7ZRDXKGA5 · pith_short_8: AUSPU3N7

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/AUSPU3N7ZRDXKGA5JP2UPSRBLR \
  | 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: 0524fa6dbfcc4775181d4bf547ca215c7461ace1829c1aa30f00bbeccb78a63e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59b3fcf76c0117c6f8e3b476254265fef62ddb1f1cf49a435f20e348282ae6ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-03T14:01:51Z",
    "title_canon_sha256": "7620772b03caa0cb9cf8f7565aa1e0dbb0c250f3770740e3449cdb8c0c94474e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0412",
    "kind": "arxiv",
    "version": 2
  }
}