Pith Number

pith:LWHLLFCE

pith:2016:LWHLLFCEPCK3SQVZUGBCJ5MXAK

not attested not anchored not stored refs pending

Whittaker coinvariants for $\mathrm{GL}(m|n)$

Jonathan Brundan, Simon M. Goodwin

arxiv:1612.08152 v3 · 2016-12-24 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWHLLFCEPCK3SQVZUGBCJ5MXAK}

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	2026-05-17T23:39:27.931888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8eb594447895b942b9a18224f59702b96a0d4e7ac9105727c71800ad097b46

Aliases

arxiv: 1612.08152 · arxiv_version: 1612.08152v3 · doi: 10.48550/arxiv.1612.08152 · pith_short_12: LWHLLFCEPCK3 · pith_short_16: LWHLLFCEPCK3SQVZ · pith_short_8: LWHLLFCE

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/LWHLLFCEPCK3SQVZUGBCJ5MXAK \
  | 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: 5d8eb594447895b942b9a18224f59702b96a0d4e7ac9105727c71800ad097b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1210b3c5c3b8decd79462eb35929c04c27e679dcec4ec6846a54330a4c8701",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-24T08:08:17Z",
    "title_canon_sha256": "17d7c0b80c29e5a907e1d8cc4f07b55f681e4784dba03432aa091f1cc2e031e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08152",
    "kind": "arxiv",
    "version": 3
  }
}