Pith Number

pith:EJXB2K7J

pith:2025:EJXB2K7J44JIZ3CZVTNAH7MN2H

not attested not anchored not stored refs pending

Band of topological groups

Monika Paul, Sunil Kumar Maity

arxiv:2506.05956 v1 · 2025-06-06 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJXB2K7J44JIZ3CZVTNAH7MN2H}

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	2026-07-05T11:17:13.860026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226e1d2be9e7128cec59acda03fd8dd1d15005fa00c0392def8f4d9dcfb41eca

Aliases

arxiv: 2506.05956 · arxiv_version: 2506.05956v1 · doi: 10.48550/arxiv.2506.05956 · pith_short_12: EJXB2K7J44JI · pith_short_16: EJXB2K7J44JIZ3CZ · pith_short_8: EJXB2K7J

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/EJXB2K7J44JIZ3CZVTNAH7MN2H \
  | 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: 226e1d2be9e7128cec59acda03fd8dd1d15005fa00c0392def8f4d9dcfb41eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5384af57c018e048d3b1e7bf37f56f47fc3d37db2bac63db26b9a28d26a43169",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-06-06T10:32:53Z",
    "title_canon_sha256": "51d0fe9bd9afe2bda71ab6b3251d0555d23984f828389def6d2eea12854715da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05956",
    "kind": "arxiv",
    "version": 1
  }
}