Pith Number

pith:VGKL2MFD

pith:2014:VGKL2MFDBSXDGXKIVJ4XMM37IN

not attested not anchored not stored refs pending

Categorical Tori

Nora Ganter

arxiv:1406.7046 v3 · 2014-06-27 · math.RT · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VGKL2MFDBSXDGXKIVJ4XMM37IN}

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.

Cited by

1 paper in Pith

Categorical symmetries of T-duality

Receipt and verification

First computed	2026-05-18T00:23:09.838257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a994bd30a30cae335d48aa7976337f435d1227297f757898ed09616fa9cdd239

Aliases

arxiv: 1406.7046 · arxiv_version: 1406.7046v3 · doi: 10.48550/arxiv.1406.7046 · pith_short_12: VGKL2MFDBSXD · pith_short_16: VGKL2MFDBSXDGXKI · pith_short_8: VGKL2MFD

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/VGKL2MFDBSXDGXKIVJ4XMM37IN \
  | 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: a994bd30a30cae335d48aa7976337f435d1227297f757898ed09616fa9cdd239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793bd15a2d63491002c88bb5c21bb34f3f235f183dfb01fdb042c0bb1c300b8e",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-06-27T00:01:08Z",
    "title_canon_sha256": "9543c9011efbddf459bdb330ac1de297f03530f1036241976b0ef5d370cb90b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7046",
    "kind": "arxiv",
    "version": 3
  }
}