Pith Number

pith:EIT4AIBS

pith:2012:EIT4AIBSRHPPZZAKDJWUOM5DTI

not attested not anchored not stored refs pending

Mackey functors and sharpness for fusion systems

Antonio D\'iaz, Sejong Park

arxiv:1211.3557 v2 · 2012-11-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EIT4AIBSRHPPZZAKDJWUOM5DTI}

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	2026-05-18T02:32:31.202814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2227c0203289defce40a1a6d4733a39a3207c6494638b9c05f69de4a6d125082

Aliases

arxiv: 1211.3557 · arxiv_version: 1211.3557v2 · doi: 10.48550/arxiv.1211.3557 · pith_short_12: EIT4AIBSRHPP · pith_short_16: EIT4AIBSRHPPZZAK · pith_short_8: EIT4AIBS

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/EIT4AIBSRHPPZZAKDJWUOM5DTI \
  | 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: 2227c0203289defce40a1a6d4733a39a3207c6494638b9c05f69de4a6d125082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23bc50c59aeca2367efabc05f78d472a30461bd786f061adb5b64dd123d430e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-11-15T10:13:00Z",
    "title_canon_sha256": "9bb72c61ac9eb9de07a605a94979a253ad12d3d285da4f2efa5d0564b042a3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3557",
    "kind": "arxiv",
    "version": 2
  }
}