Pith Number

pith:5VZIOPPP

pith:2017:5VZIOPPPDXSQRUZEUG3PW23CEK

not attested not anchored not stored refs pending

On the Humphreys conjecture on support varieties of tilting modules

Pramod N. Achar, Simon Riche, William Hardesty

arxiv:1707.07740 v3 · 2017-07-24 · 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{5VZIOPPPDXSQRUZEUG3PW23CEK}

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	2026-05-18T00:20:16.943903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed72873def1de508d324a1b6fb6b6222b293a436b110b6dbe0904cac4a7e7e5d

Aliases

arxiv: 1707.07740 · arxiv_version: 1707.07740v3 · doi: 10.48550/arxiv.1707.07740 · pith_short_12: 5VZIOPPPDXSQ · pith_short_16: 5VZIOPPPDXSQRUZE · pith_short_8: 5VZIOPPP

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/5VZIOPPPDXSQRUZEUG3PW23CEK \
  | 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: ed72873def1de508d324a1b6fb6b6222b293a436b110b6dbe0904cac4a7e7e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44cf942cf07855b8c5c8da7d436a9361777227ab7b046c41cc06bf7494f278c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-07-24T20:28:41Z",
    "title_canon_sha256": "1fcf89155bc24a9f653de5edbf591871f7da286ebc09031680f5c118aab1be2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07740",
    "kind": "arxiv",
    "version": 3
  }
}