pith. sign in
Pith Number

pith:GLO66GN2

pith:2015:GLO66GN2XODHYD26FNPGYUOC3I
not attested not anchored not stored refs pending

Characters of odd degree

Britta Sp\"ath, Gunter Malle

arxiv:1506.07690 v1 · 2015-06-25 · math.RT · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GLO66GN2XODHYD26FNPGYUOC3I}

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 2026-05-18T01:38:51.114936Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

32ddef19babb867c0f5e2b5e6c51c2da1cebb2345880f47147e17026d9495643

Aliases

arxiv: 1506.07690 · arxiv_version: 1506.07690v1 · doi: 10.48550/arxiv.1506.07690 · pith_short_12: GLO66GN2XODH · pith_short_16: GLO66GN2XODHYD26 · pith_short_8: GLO66GN2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GLO66GN2XODHYD26FNPGYUOC3I \
  | 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: 32ddef19babb867c0f5e2b5e6c51c2da1cebb2345880f47147e17026d9495643
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "42d408cbe5e123e19f56239ac32aacc3b1ffbcfbec3156120df9f477b6263c39",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-25T10:19:54Z",
    "title_canon_sha256": "b2bec491b5c64fafa04c61aaf9157264965554c149354caa23757d8592ade84c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07690",
    "kind": "arxiv",
    "version": 1
  }
}