Pith Number

pith:3ZIBBF3N

pith:2010:3ZIBBF3N3V7MEJFKADQX3JFUCK

not attested not anchored not stored refs pending

Sur les espaces test pour la moyennabilit\'e

Brice R. Mbombo, Vladimir G. Pestov, Yousef Al-Gadid

arxiv:1006.5058 v6 · 2010-06-25 · 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{3ZIBBF3N3V7MEJFKADQX3JFUCK}

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	2026-05-18T04:16:12.184982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5010976ddd7ec224aa00e17da4b412be844b2543555a3470718a584743c25b

Aliases

arxiv: 1006.5058 · arxiv_version: 1006.5058v6 · doi: 10.48550/arxiv.1006.5058 · pith_short_12: 3ZIBBF3N3V7M · pith_short_16: 3ZIBBF3N3V7MEJFK · pith_short_8: 3ZIBBF3N

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/3ZIBBF3N3V7MEJFKADQX3JFUCK \
  | 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: de5010976ddd7ec224aa00e17da4b412be844b2543555a3470718a584743c25b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfef494b3e6ea51dccca4cee91c1322c16aadad28f9ece45f7d7f9809aaade09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-06-25T20:19:04Z",
    "title_canon_sha256": "d13069a9e5ca99d8eb13ba005bbf42fa26747de73e24b80ea847c73306ca2df1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5058",
    "kind": "arxiv",
    "version": 6
  }
}