Pith Number

pith:LJAHZ5JV

pith:2021:LJAHZ5JVBLBA25DK3DRFQCKPFA

not attested not anchored not stored refs pending

Rings of Teter type

J\"urgen Herzog, Oleksandra Gasanova, Somayeh Moradi, Takayuki Hibi

arxiv:2112.04237 v2 · 2021-12-08 · 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{LJAHZ5JVBLBA25DK3DRFQCKPFA}

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	2026-07-05T03:40:54.219555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a407cf5350ac20d746ad8e258094f2821b694a887f4007ca0685a1e90a4eb36

Aliases

arxiv: 2112.04237 · arxiv_version: 2112.04237v2 · doi: 10.48550/arxiv.2112.04237 · pith_short_12: LJAHZ5JVBLBA · pith_short_16: LJAHZ5JVBLBA25DK · pith_short_8: LJAHZ5JV

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/LJAHZ5JVBLBA25DK3DRFQCKPFA \
  | 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: 5a407cf5350ac20d746ad8e258094f2821b694a887f4007ca0685a1e90a4eb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9df05bca3457c31fe70882fe517670ddf61ecd9ef23b7d57cd646f1de4dd4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2021-12-08T11:32:05Z",
    "title_canon_sha256": "7923d9607c01960198dfb94b89c6c5b298bccbc52d619a3ac72fc023d950504f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04237",
    "kind": "arxiv",
    "version": 2
  }
}