Pith Number

pith:XAY2SANE

pith:2017:XAY2SANEJHVRENY7Y6AUYTBPBN

not attested not anchored not stored refs pending

Maximal closed subroot systems of real affine root systems

Krishanu Roy, R. Venkatesh

arxiv:1707.07981 v4 · 2017-07-25 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAY2SANEJHVRENY7Y6AUYTBPBN}

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	2026-05-17T23:58:54.704032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b831a901a449eb12371fc7814c4c2f0b6d3dc4f64311c4be3820aa7f5f63ea44

Aliases

arxiv: 1707.07981 · arxiv_version: 1707.07981v4 · doi: 10.48550/arxiv.1707.07981 · pith_short_12: XAY2SANEJHVR · pith_short_16: XAY2SANEJHVRENY7 · pith_short_8: XAY2SANE

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/XAY2SANEJHVRENY7Y6AUYTBPBN \
  | 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: b831a901a449eb12371fc7814c4c2f0b6d3dc4f64311c4be3820aa7f5f63ea44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263d7c3d6320ba7ffe702d6846b962739d6c26968eb5f3129f53b0299d1ecdee",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-07-25T13:28:32Z",
    "title_canon_sha256": "ec80da568b573695432339a3bfbe474a3564db0f6d7e5122e06267cd601dadd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07981",
    "kind": "arxiv",
    "version": 4
  }
}