Pith Number

pith:RYBEZVCK

pith:2014:RYBEZVCKXRO5K4QD7BXGRROSXQ

not attested not anchored not stored refs pending

Self-similar groups and the zig-zag and replacement products of graphs

Ievgen Bondarenko

arxiv:1408.7115 v1 · 2014-08-29 · 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{RYBEZVCKXRO5K4QD7BXGRROSXQ}

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	2026-05-18T02:43:59.614411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e024cd44abc5dd57203f86e68c5d2bc1459bdfe54458da24e47ce6acdc3decf

Aliases

arxiv: 1408.7115 · arxiv_version: 1408.7115v1 · doi: 10.48550/arxiv.1408.7115 · pith_short_12: RYBEZVCKXRO5 · pith_short_16: RYBEZVCKXRO5K4QD · pith_short_8: RYBEZVCK

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/RYBEZVCKXRO5K4QD7BXGRROSXQ \
  | 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: 8e024cd44abc5dd57203f86e68c5d2bc1459bdfe54458da24e47ce6acdc3decf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04c8fc8a2d9c56ac460cbf07b44bd04fe4619288eddfa0a94a9b0dd59db8272",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-08-29T19:47:48Z",
    "title_canon_sha256": "bfee5980614aeae217e6283536d16b61492486d9327bdccca64f38377e1b568a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.7115",
    "kind": "arxiv",
    "version": 1
  }
}