Pith Number

pith:EFUHOUYC

pith:2015:EFUHOUYCF42ULWFINTX7SUECTS

not attested not anchored not stored refs pending

Exponential formulas for models of complex reflection groups

Giovanni Gaiffi

arxiv:1507.02090 v2 · 2015-07-08 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFUHOUYCF42ULWFINTX7SUECTS}

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	2026-05-18T01:36:22.755473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21687753022f3545d8a86ceff950829cbeb6d203a5ea80c1cc3eca2f76fb4176

Aliases

arxiv: 1507.02090 · arxiv_version: 1507.02090v2 · doi: 10.48550/arxiv.1507.02090 · pith_short_12: EFUHOUYCF42U · pith_short_16: EFUHOUYCF42ULWFI · pith_short_8: EFUHOUYC

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/EFUHOUYCF42ULWFINTX7SUECTS \
  | 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: 21687753022f3545d8a86ceff950829cbeb6d203a5ea80c1cc3eca2f76fb4176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878db266ddd00f5914506f22d69311bf4af5eb6d04cb1346bf3860f0199bc0f9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-08T10:25:36Z",
    "title_canon_sha256": "a2e190befb3341b10670a4e61f4dc8636e664e4c3fa158b47d7932b6d5c8a391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02090",
    "kind": "arxiv",
    "version": 2
  }
}