Pith Number

pith:WNTSUQG3

pith:2015:WNTSUQG3OZUKQHFDPQXWCQYVH2

not attested not anchored not stored refs pending

Symmetric powers and modular invariants of elementary abelian p-groups

Jonathan Elmer

arxiv:1503.07797 v3 · 2015-03-26 · 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{WNTSUQG3OZUKQHFDPQXWCQYVH2}

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	2026-05-18T00:48:20.774885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3672a40db7668a81ca37c2f6143153eabe3d4b97e4e1ad49cd52ecb31228e44

Aliases

arxiv: 1503.07797 · arxiv_version: 1503.07797v3 · doi: 10.48550/arxiv.1503.07797 · pith_short_12: WNTSUQG3OZUK · pith_short_16: WNTSUQG3OZUKQHFD · pith_short_8: WNTSUQG3

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/WNTSUQG3OZUKQHFDPQXWCQYVH2 \
  | 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: b3672a40db7668a81ca37c2f6143153eabe3d4b97e4e1ad49cd52ecb31228e44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094bc5f6d23f1420d71952fce4389dd41afb9c6addbb39760a8bd8dfbdc2bd00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-03-26T17:30:09Z",
    "title_canon_sha256": "9fc5b73e424214412c69b6d0f05562b5024a7699ab2dca87518f7b690e392a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07797",
    "kind": "arxiv",
    "version": 3
  }
}