Pith Number

pith:57ZSGWMD

pith:2012:57ZSGWMD7YMXY7TXRQ47QBJMBZ

not attested not anchored not stored refs pending

On the image of a noncommutative polynomial

\v{S}pela \v{S}penko

arxiv:1212.4600 v2 · 2012-12-19 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{57ZSGWMD7YMXY7TXRQ47QBJMBZ}

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	2026-05-18T03:36:17.711172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff3235983fe197c7e778c39f8052c0e57854b70302d7f6796dcdca4149c3a41

Aliases

arxiv: 1212.4600 · arxiv_version: 1212.4600v2 · doi: 10.48550/arxiv.1212.4600 · pith_short_12: 57ZSGWMD7YMX · pith_short_16: 57ZSGWMD7YMXY7TX · pith_short_8: 57ZSGWMD

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/57ZSGWMD7YMXY7TXRQ47QBJMBZ \
  | 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: eff3235983fe197c7e778c39f8052c0e57854b70302d7f6796dcdca4149c3a41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01cf059e1eaf1ea1797f69757ce0460eca8d9bb67d2767cdebf1e73769b0aede",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-19T09:06:24Z",
    "title_canon_sha256": "c50cda74ff751b4e33c2fdd61dcac28352dd320bcaa7e2f7d10480040942bffa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4600",
    "kind": "arxiv",
    "version": 2
  }
}