Pith Number

pith:6HZTZZ6H

pith:2017:6HZTZZ6HQIRXOGF256SGETMMQA

not attested not anchored not stored refs pending

Extensions between Verma modules for dihedral groups

Gurbir Dhillon, Visu Makam

arxiv:1712.05299 v1 · 2017-12-14 · 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{6HZTZZ6HQIRXOGF256SGETMMQA}

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	2026-05-18T00:27:58.338099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1f33ce7c782237718baefa4624d8c8018f5dc27aa6aa46506d93eab74dc3fda

Aliases

arxiv: 1712.05299 · arxiv_version: 1712.05299v1 · doi: 10.48550/arxiv.1712.05299 · pith_short_12: 6HZTZZ6HQIRX · pith_short_16: 6HZTZZ6HQIRXOGF2 · pith_short_8: 6HZTZZ6H

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/6HZTZZ6HQIRXOGF256SGETMMQA \
  | 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: f1f33ce7c782237718baefa4624d8c8018f5dc27aa6aa46506d93eab74dc3fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2fdf414bcd3c1beecdbf9c5e16cff5715052b4035889ccdd0a265c4fd2e47f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-14T15:47:45Z",
    "title_canon_sha256": "c94e34fa173bc2f99be73972d95ecfd5f0d2173781af01da9812abfcac75f3f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05299",
    "kind": "arxiv",
    "version": 1
  }
}