Pith Number

pith:3JYK7IPR

pith:2025:3JYK7IPRNFTTVPYUNRDVYI3SNW

not attested not anchored not stored refs pending

Tractable Graph Structures in EFX Orientation

M.S. Ramanujan, Peter Strulo, Sushmita Gupta, V\'aclav Bla\v{z}ej

arxiv:2506.15379 v1 · 2025-06-18 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JYK7IPRNFTTVPYUNRDVYI3SNW}

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	2026-07-05T11:23:42.238956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da70afa1f169673abf146c475c23726db9e2a2bd926f8f180178414f054d163d

Aliases

arxiv: 2506.15379 · arxiv_version: 2506.15379v1 · doi: 10.48550/arxiv.2506.15379 · pith_short_12: 3JYK7IPRNFTT · pith_short_16: 3JYK7IPRNFTTVPYU · pith_short_8: 3JYK7IPR

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/3JYK7IPRNFTTVPYUNRDVYI3SNW \
  | 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: da70afa1f169673abf146c475c23726db9e2a2bd926f8f180178414f054d163d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3319173811fc5055fc98552ecae96825c95480a3815dcadd51b642662b3a42",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-06-18T11:48:53Z",
    "title_canon_sha256": "272e533311209cdc0b124b4442a28c51727d981a885d1c6d282270ef35b01716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15379",
    "kind": "arxiv",
    "version": 1
  }
}