Pith Number

pith:TEMX47C6

pith:2017:TEMX47C665UUOLDI27A74Z2KFT

not attested not anchored not stored refs pending

A Compact Representation for Modular Semilattices and its Applications

Hiroshi Hirai, So Nakashima

arxiv:1705.05781 v1 · 2017-05-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEMX47C665UUOLDI27A74Z2KFT}

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	2026-05-18T00:44:20.185756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99197e7c5ef769472c68d7c1fe674a2ce2a4c8cb5c23e74e81cd9f84b752cd0b

Aliases

arxiv: 1705.05781 · arxiv_version: 1705.05781v1 · doi: 10.48550/arxiv.1705.05781 · pith_short_12: TEMX47C665UU · pith_short_16: TEMX47C665UUOLDI · pith_short_8: TEMX47C6

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/TEMX47C665UUOLDI27A74Z2KFT \
  | 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: 99197e7c5ef769472c68d7c1fe674a2ce2a4c8cb5c23e74e81cd9f84b752cd0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6f06e04b42f7842e026b5f29fd45bb0987a77b6ee0b89b0b4c31d006ab1fc48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-15T08:13:25Z",
    "title_canon_sha256": "ebd97b8213ff40c5442c592a0d92e0a211c14852631316698ba8169071a4b1d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05781",
    "kind": "arxiv",
    "version": 1
  }
}