Pith Number

pith:SUAPEGDM

pith:2011:SUAPEGDMUD7YF7UZMOIKLJ7YPR

not attested not anchored not stored refs pending

Modules of differential operators of order 2 on Coxeter arrangements

Norihiro Nakashima

arxiv:1111.6712 v2 · 2011-11-29 · 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{SUAPEGDMUD7YF7UZMOIKLJ7YPR}

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	2026-05-18T03:28:54.103265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9500f2186ca0ff82fe996390a5a7f87c62fbaf2b0818b4e65a063f01a236f604

Aliases

arxiv: 1111.6712 · arxiv_version: 1111.6712v2 · doi: 10.48550/arxiv.1111.6712 · pith_short_12: SUAPEGDMUD7Y · pith_short_16: SUAPEGDMUD7YF7UZ · pith_short_8: SUAPEGDM

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/SUAPEGDMUD7YF7UZMOIKLJ7YPR \
  | 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: 9500f2186ca0ff82fe996390a5a7f87c62fbaf2b0818b4e65a063f01a236f604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803c00439841fba693ca35b8e0c87032bceaf20dbd207b33d009f78750834362",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-29T07:13:08Z",
    "title_canon_sha256": "bab7a403065ca7f17aefe4356fa5ff5e04e7fcf63b3e72c2be01fe903ee9c1c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6712",
    "kind": "arxiv",
    "version": 2
  }
}