Pith Number

pith:LYDDLSCY

pith:2025:LYDDLSCYJ376NERODPAFZFRKZE

not attested not anchored not stored refs pending

Existence of Equilibria in Large Competitive Markets with Bads, Production and Comprehensive Externalities

Haosui Duanmu, M. Ali Khan, Metin Uyanik, Robert M. Anderson

arxiv:2511.00478 v2 · 2025-11-01 · 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{LYDDLSCYJ376NERODPAFZFRKZE}

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	2026-06-02T01:03:37.814778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e0635c8584effe6922e1bc05c962ac93a870f664efdba95caa8250e47e4b42a

Aliases

arxiv: 2511.00478 · arxiv_version: 2511.00478v2 · doi: 10.48550/arxiv.2511.00478 · pith_short_12: LYDDLSCYJ376 · pith_short_16: LYDDLSCYJ376NERO · pith_short_8: LYDDLSCY

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/LYDDLSCYJ376NERODPAFZFRKZE \
  | 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: 5e0635c8584effe6922e1bc05c962ac93a870f664efdba95caa8250e47e4b42a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c507ae636337bbc618621b18de9a38891fdf4e9b5c50acde217615a6d527647",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2025-11-01T10:07:27Z",
    "title_canon_sha256": "ea57e53c3f7f79576bed03222737c359216ff4736eb0ec9ba620a5effe6fb1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.00478",
    "kind": "arxiv",
    "version": 2
  }
}