Pith Number

pith:735ZT6RR

pith:2021:735ZT6RR4A754YINTAW4RJOTYW

not attested not anchored not stored refs pending

Vertex-weighted Digraphs and Freeness of Arrangements Between Shi and Ish

Shuhei Tsujie, Takuro Abe, Tan Nhat Tran

arxiv:2108.02518 v2 · 2021-08-05 · 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{735ZT6RR4A754YINTAW4RJOTYW}

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	2026-07-05T07:55:55.703966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fefb99fa31e03fde610d982dc8a5d3c5a5c5ef59799e7b9964eeb95455350fd1

Aliases

arxiv: 2108.02518 · arxiv_version: 2108.02518v2 · doi: 10.48550/arxiv.2108.02518 · pith_short_12: 735ZT6RR4A75 · pith_short_16: 735ZT6RR4A754YIN · pith_short_8: 735ZT6RR

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/735ZT6RR4A754YINTAW4RJOTYW \
  | 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: fefb99fa31e03fde610d982dc8a5d3c5a5c5ef59799e7b9964eeb95455350fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db519a9853b7cc6b5a2803758083bbf52744a03caaa7f9406ef7805af98d86b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-08-05T10:55:23Z",
    "title_canon_sha256": "b95a4fc3b690bec7384dd8fe4b053d4606ba5c390b3234012d3a8cd58665e962"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02518",
    "kind": "arxiv",
    "version": 2
  }
}