Pith Number

pith:LLS4LNHK

pith:2011:LLS4LNHK42KRMVSLB5NZIQKE62

not attested not anchored not stored refs pending

A lifting functor for toric sheaves

Markus Perling

arxiv:1110.0323 v3 · 2011-10-03 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLS4LNHK42KRMVSLB5NZIQKE62}

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	2026-05-18T00:41:48.160059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae5c5b4eae69516564b0f5b944144f6adacb22109f62a505d8732c341bc861f

Aliases

arxiv: 1110.0323 · arxiv_version: 1110.0323v3 · doi: 10.48550/arxiv.1110.0323 · pith_short_12: LLS4LNHK42KR · pith_short_16: LLS4LNHK42KRMVSL · pith_short_8: LLS4LNHK

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/LLS4LNHK42KRMVSLB5NZIQKE62 \
  | 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: 5ae5c5b4eae69516564b0f5b944144f6adacb22109f62a505d8732c341bc861f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f248c41745a8077f18e3166cd7ac0c70ea91cffc240ae3addb4a5ef4ca3dede6",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-03T11:24:21Z",
    "title_canon_sha256": "e66062cbecc8e4ecbb9b78436e2e68344375f39c661eaec0dfa43782c58bfade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0323",
    "kind": "arxiv",
    "version": 3
  }
}