Pith Number

pith:5IAR6UZ2

pith:2025:5IAR6UZ2TANHOLHT7SU3CRMEP3

not attested not anchored not stored refs pending

Groups with a finite Busemann boundary are virtually cyclic

Ariel Yadin, Corentin Bodart, Liran Ron-George

arxiv:2511.20495 v2 · 2025-11-25 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IAR6UZ2TANHOLHT7SU3CRMEP3}

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	2026-07-24T00:23:06.250248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea011f533a981a772cf3fca9b145847ef0caaa5ea0f3a02dc9f6a42c6ba25636

Aliases

arxiv: 2511.20495 · arxiv_version: 2511.20495v2 · doi: 10.48550/arxiv.2511.20495 · pith_short_12: 5IAR6UZ2TANH · pith_short_16: 5IAR6UZ2TANHOLHT · pith_short_8: 5IAR6UZ2

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/5IAR6UZ2TANHOLHT7SU3CRMEP3 \
  | 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: ea011f533a981a772cf3fca9b145847ef0caaa5ea0f3a02dc9f6a42c6ba25636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b50dc23b0eb216b74f07f9b918dcd6d0a49f529d0845ef87caf9e6474be56017",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-11-25T17:02:00Z",
    "title_canon_sha256": "66d86353a884a32a506f504165ad6182dba60f7339019207d1014b008e2e4bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.20495",
    "kind": "arxiv",
    "version": 2
  }
}