Pith Number

pith:ZST6X5DO

pith:2017:ZST6X5DOJDRFFEKORMCZYW5ZPE

not attested not anchored not stored refs pending

On purity theorem of Lusztig's perverse sheaves

Fan Xu, Jie Xiao, Minghui Zhao

arxiv:1712.04167 v2 · 2017-12-12 · math.RT · math.AG · math.QA

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

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	2026-05-18T00:06:12.011742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca7ebf46e48e252914e8b059c5bb9791cea613694e6cb54c8909776f84d5b25

Aliases

arxiv: 1712.04167 · arxiv_version: 1712.04167v2 · doi: 10.48550/arxiv.1712.04167 · pith_short_12: ZST6X5DOJDRF · pith_short_16: ZST6X5DOJDRFFEKO · pith_short_8: ZST6X5DO

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/ZST6X5DOJDRFFEKORMCZYW5ZPE \
  | 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: cca7ebf46e48e252914e8b059c5bb9791cea613694e6cb54c8909776f84d5b25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386548c5c54544696729deafa50de5fae5553b4ade643dd5dc174cf7fce556e7",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-12T08:24:01Z",
    "title_canon_sha256": "9c5c295cf68cea1bb1872c2ba3d22ba3994f92d9e0ea7b76a5bb6bda2cec11eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04167",
    "kind": "arxiv",
    "version": 2
  }
}