Pith Number

pith:SFJFGLR5

pith:2023:SFJFGLR56RA4YVMLI63WC7QMYR

not attested not anchored not stored refs pending

Groups with finitely many Busemann points

Ariel Yadin, Liran Ron-George

arxiv:2305.02303 v1 · 2023-05-03 · 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{SFJFGLR56RA4YVMLI63WC7QMYR}

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	2026-07-05T06:06:49.786066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9152532e3df441cc558b47b7617e0cc45814614089723ab71931b5cc067215eb

Aliases

arxiv: 2305.02303 · arxiv_version: 2305.02303v1 · doi: 10.48550/arxiv.2305.02303 · pith_short_12: SFJFGLR56RA4 · pith_short_16: SFJFGLR56RA4YVML · pith_short_8: SFJFGLR5

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/SFJFGLR56RA4YVMLI63WC7QMYR \
  | 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: 9152532e3df441cc558b47b7617e0cc45814614089723ab71931b5cc067215eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be9ca7848c18ceaae70f74cb87b8de0ce98c2e448c94821266920a7a11d6c10",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2023-05-03T17:52:36Z",
    "title_canon_sha256": "ee4135110709fc36622c12a2ab1a6d303221adeaa5a3f743e08b0b4c87e464ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.02303",
    "kind": "arxiv",
    "version": 1
  }
}