Pith Number

pith:LWNZ64RT

pith:2026:LWNZ64RTSZRY75WQ2XGL2D5RS7

not attested not anchored not stored refs pending

Index perturbation of signed graphs

Linfeng Xie, Xiaogang Liu

arxiv:2606.10783 v1 · 2026-06-09 · 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{LWNZ64RTSZRY75WQ2XGL2D5RS7}

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	2026-06-10T01:10:40.403892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9b9f723396638ff6d0d5ccbd0fb197cc8d00334d0eb2f94fd593545b94205f

Aliases

arxiv: 2606.10783 · arxiv_version: 2606.10783v1 · doi: 10.48550/arxiv.2606.10783 · pith_short_12: LWNZ64RTSZRY · pith_short_16: LWNZ64RTSZRY75WQ · pith_short_8: LWNZ64RT

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/LWNZ64RTSZRY75WQ2XGL2D5RS7 \
  | 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: 5d9b9f723396638ff6d0d5ccbd0fb197cc8d00334d0eb2f94fd593545b94205f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5051027cfa3b3b0bb20104b2089b1147c3cfbcb9dce4bfc009ec98070cf922b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T12:35:41Z",
    "title_canon_sha256": "b194c1cee7906a0c5266daf603744d310e249d3c6a3dc7f6aca9c567f81e3b85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10783",
    "kind": "arxiv",
    "version": 1
  }
}