Pith Number

pith:Y6M2DQ6K

pith:2013:Y6M2DQ6KAIVXQ67C7VPDD6YRBK

not attested not anchored not stored refs pending

Categorification and Heisenberg doubles arising from towers of algebras

Alistair Savage, Oded Yacobi

arxiv:1309.2513 v2 · 2013-09-10 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6M2DQ6KAIVXQ67C7VPDD6YRBK}

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	2026-05-18T02:39:32.201634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c799a1c3ca022b787be2fd5e31fb110ab8fa85b547fd4506979cb5500f999d06

Aliases

arxiv: 1309.2513 · arxiv_version: 1309.2513v2 · doi: 10.48550/arxiv.1309.2513 · pith_short_12: Y6M2DQ6KAIVX · pith_short_16: Y6M2DQ6KAIVXQ67C · pith_short_8: Y6M2DQ6K

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/Y6M2DQ6KAIVXQ67C7VPDD6YRBK \
  | 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: c799a1c3ca022b787be2fd5e31fb110ab8fa85b547fd4506979cb5500f999d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1efe2cfd084bb3792ee0046ba1ce7f9ec2b8f605d6d07c6cac5950926779e68e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-10T13:53:54Z",
    "title_canon_sha256": "41d574615ad5be252a359a2e33ea02fbe7541b3619fc3527c5067c0a739bca43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2513",
    "kind": "arxiv",
    "version": 2
  }
}