Pith Number

pith:LVKTBS3Y

pith:2016:LVKTBS3YAY72L7GOFEUUCEHW3Y

not attested not anchored not stored refs pending

Typical and Admissible ranks over fields

Alessandra Bernardi, Edoardo Ballico

arxiv:1604.02342 v1 · 2016-04-08 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVKTBS3YAY72L7GOFEUUCEHW3Y}

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	2026-05-18T01:17:26.837625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d5530cb78063fa5fcce29294110f6de04c2d8acc735a5aacbfa26ec0e2bc19b

Aliases

arxiv: 1604.02342 · arxiv_version: 1604.02342v1 · doi: 10.48550/arxiv.1604.02342 · pith_short_12: LVKTBS3YAY72 · pith_short_16: LVKTBS3YAY72L7GO · pith_short_8: LVKTBS3Y

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/LVKTBS3YAY72L7GOFEUUCEHW3Y \
  | 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: 5d5530cb78063fa5fcce29294110f6de04c2d8acc735a5aacbfa26ec0e2bc19b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f2202292ffb6c4e0d71cc861a065878179796f5a5f97fb18b550262081a4a9e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-08T13:04:17Z",
    "title_canon_sha256": "3786627b8c163771bf09e2e94dc946b9b72179febadf52cef5fb6cd3302f17bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02342",
    "kind": "arxiv",
    "version": 1
  }
}