Pith Number

pith:OYRMT237

pith:2016:OYRMT2374OKVVSEYZWGMJ6KBBI

not attested not anchored not stored refs pending

A representation stability theorem for VI-modules

John Watterlond, Wee Liang Gan

arxiv:1602.00654 v3 · 2016-02-01 · 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{OYRMT2374OKVVSEYZWGMJ6KBBI}

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	2026-05-18T00:34:35.803601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7622c9eb7fe3955ac898cd8cc4f9410a29c10249a0020e3f027a7b9e259bb5ee

Aliases

arxiv: 1602.00654 · arxiv_version: 1602.00654v3 · doi: 10.48550/arxiv.1602.00654 · pith_short_12: OYRMT2374OKV · pith_short_16: OYRMT2374OKVVSEY · pith_short_8: OYRMT237

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/OYRMT2374OKVVSEYZWGMJ6KBBI \
  | 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: 7622c9eb7fe3955ac898cd8cc4f9410a29c10249a0020e3f027a7b9e259bb5ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c02bfc5cd0529a920b195e5854b8eb41b16f7fece6e4f61bbd9c20857c0a581",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-02-01T20:04:33Z",
    "title_canon_sha256": "cd59e55eea907bdc336cc5e026982a1681dd81ac0a789918f4cefab43d27eef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00654",
    "kind": "arxiv",
    "version": 3
  }
}