Pith Number

pith:M4G45ITY

pith:2015:M4G45ITYP3FFF5EZMG2UKHG2AL

not attested not anchored not stored refs pending

Peaks Sets of Classical Coxeter Groups

Alexander Diaz-Lopez, Darleen Perez-Lavin, Erik Insko, Pamela E. Harris

arxiv:1505.04479 v3 · 2015-05-18 · 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{M4G45ITYP3FFF5EZMG2UKHG2AL}

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	2026-05-18T00:57:18.493719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670dcea2787eca52f49961b5451cda02f56df777c499f9640f05833e6180ff99

Aliases

arxiv: 1505.04479 · arxiv_version: 1505.04479v3 · doi: 10.48550/arxiv.1505.04479 · pith_short_12: M4G45ITYP3FF · pith_short_16: M4G45ITYP3FFF5EZ · pith_short_8: M4G45ITY

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/M4G45ITYP3FFF5EZMG2UKHG2AL \
  | 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: 670dcea2787eca52f49961b5451cda02f56df777c499f9640f05833e6180ff99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82b542e029f6bced5aec09b66f4e3e19e3af878e70d2a196ca8ca982440f8bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-18T00:21:09Z",
    "title_canon_sha256": "bfcac5d117fc7a8a159d1e7b3f23f1937c2b7beca2855812acf9886d792e0a73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04479",
    "kind": "arxiv",
    "version": 3
  }
}