Pith Number

pith:5T5GBK4Y

pith:2025:5T5GBK4YH65NMCXWJII2CZX6NW

not attested not anchored not stored refs pending

$\mathbb{E}_2$-algebra structures on the derived center of an algebraic scheme

Sonja Farr

arxiv:2506.14069 v1 · 2025-06-16 · math.AT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5T5GBK4YH65NMCXWJII2CZX6NW}

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	2026-07-05T11:22:48.472562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecfa60ab983fbad60af64a11a166fe6da947542579f39f3445b8d994e862224d

Aliases

arxiv: 2506.14069 · arxiv_version: 2506.14069v1 · doi: 10.48550/arxiv.2506.14069 · pith_short_12: 5T5GBK4YH65N · pith_short_16: 5T5GBK4YH65NMCXW · pith_short_8: 5T5GBK4Y

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/5T5GBK4YH65NMCXWJII2CZX6NW \
  | 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: ecfa60ab983fbad60af64a11a166fe6da947542579f39f3445b8d994e862224d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d122a869860be01b45dc904fb05f36edfdd55d0e0935ac0b0c18bfb450e64a",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-06-16T23:59:38Z",
    "title_canon_sha256": "69a4a5f1e092faadbb991cef349d6f65ce142181eab3b8fb731e9d09901e2a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14069",
    "kind": "arxiv",
    "version": 1
  }
}