Pith Number

pith:QQ5Q67T6

pith:2018:QQ5Q67T6M3VMA7PMQ3PHU7MRHM

not attested not anchored not stored refs pending

Graded multiplicity in harmonic polynomials from the Vinberg setting

Alexander Heaton

arxiv:1805.03178 v3 · 2018-05-08 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQ5Q67T6M3VMA7PMQ3PHU7MRHM}

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	2026-07-05T09:28:07.542051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843b0f7e7e66eac07dec86de7a7d913b0e21a55df58b7e65196ed43ba17d53bd

Aliases

arxiv: 1805.03178 · arxiv_version: 1805.03178v3 · doi: 10.48550/arxiv.1805.03178 · pith_short_12: QQ5Q67T6M3VM · pith_short_16: QQ5Q67T6M3VMA7PM · pith_short_8: QQ5Q67T6

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/QQ5Q67T6M3VMA7PMQ3PHU7MRHM \
  | 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: 843b0f7e7e66eac07dec86de7a7d913b0e21a55df58b7e65196ed43ba17d53bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2661d97b4920eacab6c5f759d589f2b34f6428285a66b1bcc8761a784618160d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-05-08T17:29:03Z",
    "title_canon_sha256": "b214c7aeabaff50db364e63f21854a803558e84130ce88cfb3177de5b38dcf06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03178",
    "kind": "arxiv",
    "version": 3
  }
}