Pith Number

pith:IASUPTHC

pith:2025:IASUPTHCZJNWL3X4XHUSQZCFJ4

not attested not anchored not stored refs pending

Connected signed graphs with given inertia indices and given girth

Beiyan Liu, Fang Duan

arxiv:2505.08539 v1 · 2025-05-13 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IASUPTHCZJNWL3X4XHUSQZCFJ4}

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	2026-07-05T11:02:32.031901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

402547cce2ca5b65eefcb9e92864454f1a46519ff6127f8368675c875742ea3e

Aliases

arxiv: 2505.08539 · arxiv_version: 2505.08539v1 · doi: 10.48550/arxiv.2505.08539 · pith_short_12: IASUPTHCZJNW · pith_short_16: IASUPTHCZJNWL3X4 · pith_short_8: IASUPTHC

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/IASUPTHCZJNWL3X4XHUSQZCFJ4 \
  | 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: 402547cce2ca5b65eefcb9e92864454f1a46519ff6127f8368675c875742ea3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46c343cd5bfe2f8f52cae0fb97897e0c8a4acd048e218598c4519c1bb017748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-05-13T13:10:19Z",
    "title_canon_sha256": "f273e47e5917924a666b122ec873675cd049b2559f7b7409fb41288f3b58d36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.08539",
    "kind": "arxiv",
    "version": 1
  }
}