Pith Number

pith:KC7IVT3I

pith:2019:KC7IVT3IEXKPURWC4NRUA5AQKK

not attested not anchored not stored refs pending

Sums of linear transformations in higher dimensions

Akshat Mudgal

arxiv:1902.07665 v2 · 2019-02-20 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC7IVT3IEXKPURWC4NRUA5AQKK}

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	2026-05-17T23:45:04.023291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50be8acf6825d4fa46c2e3634074105295898073adb004280801a56502ffe43a

Aliases

arxiv: 1902.07665 · arxiv_version: 1902.07665v2 · doi: 10.48550/arxiv.1902.07665 · pith_short_12: KC7IVT3IEXKP · pith_short_16: KC7IVT3IEXKPURWC · pith_short_8: KC7IVT3I

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/KC7IVT3IEXKPURWC4NRUA5AQKK \
  | 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: 50be8acf6825d4fa46c2e3634074105295898073adb004280801a56502ffe43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "434078d65fdd3a884c1c12d0cc97a9d24285167ebe6ff4c929119079257afd5c",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-20T17:23:47Z",
    "title_canon_sha256": "4c65aeb1966fe44175de88dd56cb0db2e8c66d3c20f68a89611a2a6d9298bae4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07665",
    "kind": "arxiv",
    "version": 2
  }
}