Pith Number

pith:4R6EZ2HM

pith:2024:4R6EZ2HMTDZVUXGQGKG2DYTA5U

not attested not anchored not stored refs pending

A multiplicative surface signature through its Magnus expansion

Ilya Chevyrev, Joscha Diehl, Kurusch Ebrahimi-Fard, Nikolas Tapia

arxiv:2406.16856 v2 · 2024-06-24 · math.RA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4R6EZ2HMTDZVUXGQGKG2DYTA5U}

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

Tensor-to-Tensor Models with Fast Iterated Sum Features

Receipt and verification

First computed	2026-07-05T09:59:16.459515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47c4ce8ec98f35a5cd0328da1e260ed372b86973d2b7510b72c30c1ed63c4e2

Aliases

arxiv: 2406.16856 · arxiv_version: 2406.16856v2 · doi: 10.48550/arxiv.2406.16856 · pith_short_12: 4R6EZ2HMTDZV · pith_short_16: 4R6EZ2HMTDZVUXGQ · pith_short_8: 4R6EZ2HM

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/4R6EZ2HMTDZVUXGQGKG2DYTA5U \
  | 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: e47c4ce8ec98f35a5cd0328da1e260ed372b86973d2b7510b72c30c1ed63c4e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ff67ce0c740b213ddde605d79dcca55adb58dcf9ab27c11bcb5c2b75172653",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2024-06-24T17:58:57Z",
    "title_canon_sha256": "7c8df2c12d46d9c365d6fbb63fb4b09ed77032dceb583fab62e8caadda66dfd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16856",
    "kind": "arxiv",
    "version": 2
  }
}