Pith Number

pith:TKZNB4TL

pith:2024:TKZNB4TLHEDT3AIJHI2Q2EHWKC

not attested not anchored not stored refs pending

Breaking Symmetry in Graphs by Resolving Sets

Meysam Korivand, Nasrin Soltankhah, Sandi Klav\v{z}ar

arxiv:2412.15781 v2 · 2024-12-20 · 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{TKZNB4TLHEDT3AIJHI2Q2EHWKC}

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	2026-07-05T11:32:22.053873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab2d0f26b39073d81093a350d10f650bd2f0c7e9c7a7e99819c0d5b5221cb46

Aliases

arxiv: 2412.15781 · arxiv_version: 2412.15781v2 · doi: 10.48550/arxiv.2412.15781 · pith_short_12: TKZNB4TLHEDT · pith_short_16: TKZNB4TLHEDT3AIJ · pith_short_8: TKZNB4TL

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/TKZNB4TLHEDT3AIJHI2Q2EHWKC \
  | 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: 9ab2d0f26b39073d81093a350d10f650bd2f0c7e9c7a7e99819c0d5b5221cb46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c9adf6c3ac9aa33e119ad51b47dfdcae42535b4efbdcd428a48a92a5797997",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-20T10:48:48Z",
    "title_canon_sha256": "cf8191ccd0337fb1c0b4747a943b73cd256f14835d1a0e5ac382c37b7bc72402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15781",
    "kind": "arxiv",
    "version": 2
  }
}