Pith Number

pith:M4BDX4NK

pith:2019:M4BDX4NKJUSJJQBL57IQGU5HA6

not attested not anchored not stored refs pending

Higher signs for Coxeter groups

Zhiwei Yun

arxiv:1908.03672 v1 · 2019-08-10 · math.RT · math.AG · 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{M4BDX4NKJUSJJQBL57IQGU5HA6}

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	2026-07-04T23:53:17.037979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67023bf1aa4d2494c02befd10353a707b64812244f03b6d3855972c07aaf6d67

Aliases

arxiv: 1908.03672 · arxiv_version: 1908.03672v1 · doi: 10.48550/arxiv.1908.03672 · pith_short_12: M4BDX4NKJUSJ · pith_short_16: M4BDX4NKJUSJJQBL · pith_short_8: M4BDX4NK

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/M4BDX4NKJUSJJQBL57IQGU5HA6 \
  | 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: 67023bf1aa4d2494c02befd10353a707b64812244f03b6d3855972c07aaf6d67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53a2e8ed0745b75ee25d519f78c91431af81bf71e754568b6180465ba45af0c",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-08-10T02:53:03Z",
    "title_canon_sha256": "005a38ef85ded19f71863c455bb39844135727de6c2063f6d1aeb9001d4f4d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03672",
    "kind": "arxiv",
    "version": 1
  }
}