Pith Number

pith:HTFKHPJX

pith:2019:HTFKHPJXFBGVNJIUEW7YPDLEGX

not attested not anchored not stored refs pending

Conjugacy classes of centralizers in the group of upper triangular matrices

Sushil Bhunia

arxiv:1901.07869 v1 · 2019-01-23 · 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{HTFKHPJXFBGVNJIUEW7YPDLEGX}

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	2026-05-17T23:55:39.567449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ccaa3bd37284d56a51425bf878d6435ef53e8eeb59b6036a8b12751a64faf20

Aliases

arxiv: 1901.07869 · arxiv_version: 1901.07869v1 · doi: 10.48550/arxiv.1901.07869 · pith_short_12: HTFKHPJXFBGV · pith_short_16: HTFKHPJXFBGVNJIU · pith_short_8: HTFKHPJX

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/HTFKHPJXFBGVNJIUEW7YPDLEGX \
  | 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: 3ccaa3bd37284d56a51425bf878d6435ef53e8eeb59b6036a8b12751a64faf20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c0d6847a32bffaf6c9ef9e61e649394635d9697975b8549dee1232f5fafb001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-23T13:28:01Z",
    "title_canon_sha256": "b1319ce23672f4016aa1f3136a032769390975306ba6fe3579bea1e2950d0d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07869",
    "kind": "arxiv",
    "version": 1
  }
}