Pith Number

pith:HHXDZL4L

pith:2010:HHXDZL4L2YUOV4OJPTZXRQT2R5

not attested not anchored not stored refs pending

A Geometric Construction for Permutation Equivariant Categories from Modular Functors

Christoph Schweigert, Till Barmeier

arxiv:1004.1825 v2 · 2010-04-11 · math.QA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHXDZL4L2YUOV4OJPTZXRQT2R5}

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	2026-05-18T02:24:16.807664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39ee3caf8bd628eaf1c97cf378c27a8f73f0738eb33e537c72d82d68697f29ed

Aliases

arxiv: 1004.1825 · arxiv_version: 1004.1825v2 · doi: 10.48550/arxiv.1004.1825 · pith_short_12: HHXDZL4L2YUO · pith_short_16: HHXDZL4L2YUOV4OJ · pith_short_8: HHXDZL4L

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/HHXDZL4L2YUOV4OJPTZXRQT2R5 \
  | 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: 39ee3caf8bd628eaf1c97cf378c27a8f73f0738eb33e537c72d82d68697f29ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7293383b60dbba88996f746f5f66ed0e25b894d90bfbeb72ca7e82a707312a03",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-04-11T17:48:59Z",
    "title_canon_sha256": "50cb334774066537d6d4f9c449d58b59769a9f80672ca9a1b227ec7175e4470d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1825",
    "kind": "arxiv",
    "version": 2
  }
}