Pith Number

pith:25VPA7LB

pith:2016:25VPA7LBT6JHJVYCRP6Q35KF2N

not attested not anchored not stored refs pending

Reflection groups, reflection arrangements, and invariant real varieties

Cordian Riener, Raman Sanyal, Tobias Friedl

arxiv:1602.06732 v3 · 2016-02-22 · math.AG · 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{25VPA7LBT6JHJVYCRP6Q35KF2N}

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	2026-05-18T00:42:51.820940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76af07d619f9274d7028bfd0df545d371736d9f9125a7f26f05eaaa0489288d

Aliases

arxiv: 1602.06732 · arxiv_version: 1602.06732v3 · doi: 10.48550/arxiv.1602.06732 · pith_short_12: 25VPA7LBT6JH · pith_short_16: 25VPA7LBT6JHJVYC · pith_short_8: 25VPA7LB

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/25VPA7LBT6JHJVYCRP6Q35KF2N \
  | 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: d76af07d619f9274d7028bfd0df545d371736d9f9125a7f26f05eaaa0489288d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bce1ad231bfb9029f5c6a8e2d52c43ed9fe4f818d3d33d039fa93e71678fdab",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-22T11:25:14Z",
    "title_canon_sha256": "da4945e82f469a526e57396ec4acb8eea4ed0ce9dfd73b128f528bceaf276a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06732",
    "kind": "arxiv",
    "version": 3
  }
}