Pith Number

pith:GSDCM5CT

pith:2015:GSDCM5CTPCLJMIHBTF3BWBRWVU

not attested not anchored not stored refs pending

Whittaker modules for the insertion-elimination Lie algebra

Emilie Wiesner, Matthew Ondrus

arxiv:1510.06998 v1 · 2015-10-23 · 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{GSDCM5CTPCLJMIHBTF3BWBRWVU}

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	2026-05-18T01:29:22.463123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348626745378969620e199761b0636ad3fb73c7ae975b7db5d316a5188a512dd

Aliases

arxiv: 1510.06998 · arxiv_version: 1510.06998v1 · doi: 10.48550/arxiv.1510.06998 · pith_short_12: GSDCM5CTPCLJ · pith_short_16: GSDCM5CTPCLJMIHB · pith_short_8: GSDCM5CT

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/GSDCM5CTPCLJMIHBTF3BWBRWVU \
  | 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: 348626745378969620e199761b0636ad3fb73c7ae975b7db5d316a5188a512dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e8605e000bb1edc6d0296ea1f9dbf6952ab616098c36d1234f4b82f98a17b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-23T17:34:47Z",
    "title_canon_sha256": "3c7f2263d3f11ddbae21c55ba8c70c4aa0060f7c9dbb1b3112d8e2c4492d3718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06998",
    "kind": "arxiv",
    "version": 1
  }
}