Pith Number

pith:DJ3C6SNQ

pith:2021:DJ3C6SNQZMFJLSQUBPO22HKAES

not attested not anchored not stored refs pending

Compact Lie Groups and Complex Reductive Groups

Adam Thomas, Dmitriy Rumynin, John Jones

arxiv:2109.13702 v3 · 2021-09-28 · math.RT · math.CT · 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{DJ3C6SNQZMFJLSQUBPO22HKAES}

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	2026-07-05T06:04:32.376108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a762f49b0cb0a95ca140bddad1d40249895967dfc4cf49298c6eb49cefcfab3

Aliases

arxiv: 2109.13702 · arxiv_version: 2109.13702v3 · doi: 10.48550/arxiv.2109.13702 · pith_short_12: DJ3C6SNQZMFJ · pith_short_16: DJ3C6SNQZMFJLSQU · pith_short_8: DJ3C6SNQ

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/DJ3C6SNQZMFJLSQUBPO22HKAES \
  | 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: 1a762f49b0cb0a95ca140bddad1d40249895967dfc4cf49298c6eb49cefcfab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee370ddc64b0dabf91aa2f3ba5acdd71b00d893aef2d8f4df3d1c9f0b0b188d1",
    "cross_cats_sorted": [
      "math.CT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2021-09-28T13:13:24Z",
    "title_canon_sha256": "7046a97dd4c97846492edd449c89a2e857e496ff4ae520cebed18471ea3a7330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13702",
    "kind": "arxiv",
    "version": 3
  }
}