Pith Number

pith:CV25UYRA

pith:2014:CV25UYRAQADYHEFK63ROYDVVSP

not attested not anchored not stored refs pending

Multiplicative quadratic maps

Matthias Gr\"uninger

arxiv:1401.7265 v2 · 2014-01-28 · 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{CV25UYRAQADYHEFK63ROYDVVSP}

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	2026-05-18T02:46:30.969823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1575da622080078390aaf6e2ec0eb593f39b1d0b8edc16d9330e09a5faf4c17b

Aliases

arxiv: 1401.7265 · arxiv_version: 1401.7265v2 · doi: 10.48550/arxiv.1401.7265 · pith_short_12: CV25UYRAQADY · pith_short_16: CV25UYRAQADYHEFK · pith_short_8: CV25UYRA

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/CV25UYRAQADYHEFK63ROYDVVSP \
  | 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: 1575da622080078390aaf6e2ec0eb593f39b1d0b8edc16d9330e09a5faf4c17b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279ad1d413b07e18a3aa10d7b8a5d156afcd67cb4e71b7aad0913defc1e101ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-28T17:18:00Z",
    "title_canon_sha256": "2cd82129f8c79818c79f87043472f0fb0a395181296c463b27defbdbcc79b698"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7265",
    "kind": "arxiv",
    "version": 2
  }
}