Pith Number

pith:KBNT6J6S

pith:2007:KBNT6J6ST4EZV3L6AJKMAQWM2C

not attested not anchored not stored refs pending

Buchsteiner loops

Ales Drapal, Michael K. Kinyon, Piroska Csorgo

arxiv:0708.2358 v1 · 2007-08-17 · 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{KBNT6J6ST4EZV3L6AJKMAQWM2C}

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	2026-05-18T04:15:17.294321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

505b3f27d29f099aed7e0254c042ccd0abe9d69fa6755580de6b2640f4441f90

Aliases

arxiv: 0708.2358 · arxiv_version: 0708.2358v1 · doi: 10.48550/arxiv.0708.2358 · pith_short_12: KBNT6J6ST4EZ · pith_short_16: KBNT6J6ST4EZV3L6 · pith_short_8: KBNT6J6S

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/KBNT6J6ST4EZV3L6AJKMAQWM2C \
  | 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: 505b3f27d29f099aed7e0254c042ccd0abe9d69fa6755580de6b2640f4441f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287fbc0185480ca7db57783d1e22f2c79cc8b70bcffa5d7d289eca6b7c154404",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-08-17T12:48:29Z",
    "title_canon_sha256": "6deba70cd740c4704cc0c2bb01cfef59f05c7442dddc95dbebafacd90dbd8d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2358",
    "kind": "arxiv",
    "version": 1
  }
}