Pith Number

pith:7WSHWK74

pith:2011:7WSHWK74C4XO42S5APVAQHWZN2

not attested not anchored not stored refs pending

The Transcendence Degree over a Ring

Gregor Kemper

arxiv:1109.1391 v1 · 2011-09-07 · 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{7WSHWK74C4XO42S5APVAQHWZN2}

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	2026-05-18T04:13:55.805162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda47b2bfc172eee6a5d03ea081ed96eb0b2053bbbdd3b1549491f881a161589

Aliases

arxiv: 1109.1391 · arxiv_version: 1109.1391v1 · doi: 10.48550/arxiv.1109.1391 · pith_short_12: 7WSHWK74C4XO · pith_short_16: 7WSHWK74C4XO42S5 · pith_short_8: 7WSHWK74

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/7WSHWK74C4XO42S5APVAQHWZN2 \
  | 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: fda47b2bfc172eee6a5d03ea081ed96eb0b2053bbbdd3b1549491f881a161589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea31715cc3561076e356e873fb0ef3672e2149f0359016ef13b6102999648c1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-09-07T08:48:57Z",
    "title_canon_sha256": "a8c731cf414fdbb7655cd49b71e6d1ba50182683c04259b816573d8a1f091544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1391",
    "kind": "arxiv",
    "version": 1
  }
}