Pith Number

pith:HM2A5FZC

pith:2026:HM2A5FZCMI2X3KAYBIAZZHIERS

not attested not anchored not stored refs pending

EFX Allocations Exist on Multi-Graphs

Amir Mohammad Shahrezaei, Arash Ashuri, Kurt Mehlhorn, Mahyar Afshinmehr, Pouria Mahmoudkhan

arxiv:2606.18665 v1 · 2026-06-17 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HM2A5FZCMI2X3KAYBIAZZHIERS}

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	2026-06-19T16:11:44.030771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b340e972262357da8180a019c9d048c9a55f62f2904157c8d45b3b26ecb380b

Aliases

arxiv: 2606.18665 · arxiv_version: 2606.18665v1 · doi: 10.48550/arxiv.2606.18665 · pith_short_12: HM2A5FZCMI2X · pith_short_16: HM2A5FZCMI2X3KAY · pith_short_8: HM2A5FZC

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/HM2A5FZCMI2X3KAYBIAZZHIERS \
  | 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: 3b340e972262357da8180a019c9d048c9a55f62f2904157c8d45b3b26ecb380b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "193b4050f912e87d3e892755cc2b6388b120ba4435ebd4fe5d6b785236cdc883",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-06-17T04:03:56Z",
    "title_canon_sha256": "fbad63f851c5fa9595fad568a93e6fd3eb0b321620202b300ba7a75425e4fe5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18665",
    "kind": "arxiv",
    "version": 1
  }
}