Pith Number

pith:GMFC4F7B

pith:2026:GMFC4F7BCLZ5HNWV6MSWMUHI3G

not attested not anchored not stored refs pending

Laplacian Pair State Transfer on Total Graphs

Akash Kalita, Bikash Bhattacharjya

arxiv:2602.08684 v2 · 2026-02-09 · 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{GMFC4F7BCLZ5HNWV6MSWMUHI3G}

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	2026-05-26T02:04:05.873020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330a2e17e112f3d3b6d5f3256650e8d98d0c9be71a0646aae65390269478f52b

Aliases

arxiv: 2602.08684 · arxiv_version: 2602.08684v2 · doi: 10.48550/arxiv.2602.08684 · pith_short_12: GMFC4F7BCLZ5 · pith_short_16: GMFC4F7BCLZ5HNWV · pith_short_8: GMFC4F7B

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/GMFC4F7BCLZ5HNWV6MSWMUHI3G \
  | 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: 330a2e17e112f3d3b6d5f3256650e8d98d0c9be71a0646aae65390269478f52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a5c9ff7f1c01612587333b21fdc5791c5f95321b727c92992ad97db5bece64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-02-09T14:06:32Z",
    "title_canon_sha256": "31f8cef7e68bf03d00b04ce9c69cf5b1e4c5d61a5baa0e14ff521dcc159bf404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.08684",
    "kind": "arxiv",
    "version": 2
  }
}