Pith Number

pith:3WG4P6V2

pith:2026:3WG4P6V22OUVEVKS4IRHEGCALV

not attested not anchored not stored refs pending

Doctor-Optimal Stability in Unitary Many-to-Many Markets

Yi-You Yang

arxiv:2607.10756 v1 · 2026-07-12 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WG4P6V22OUVEVKS4IRHEGCALV}

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	2026-07-14T01:21:38.573614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8dc7fabad3a9525552e2227218405d57d6cf093b26bbd27da416d33e4443c5

Aliases

arxiv: 2607.10756 · arxiv_version: 2607.10756v1 · doi: 10.48550/arxiv.2607.10756 · pith_short_12: 3WG4P6V22OUV · pith_short_16: 3WG4P6V22OUVEVKS · pith_short_8: 3WG4P6V2

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/3WG4P6V22OUVEVKS4IRHEGCALV \
  | 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: dd8dc7fabad3a9525552e2227218405d57d6cf093b26bbd27da416d33e4443c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f518de14d9f0e1eb7968e0e199420b6c199a624d81bbf35ee1ceb22d5e7743",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2026-07-12T13:10:05Z",
    "title_canon_sha256": "7f71fcf5c63c6fbffde35a4b074b850c1134d2c4236231e2c97556fbd22926ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10756",
    "kind": "arxiv",
    "version": 1
  }
}