Pith Number

pith:YIJSFDRX

pith:2019:YIJSFDRXPBBS6Z456HVUPPBIPW

not attested not anchored not stored refs pending

Necessary and sufficient condition for equilibrium of the Hotelling model

Naoki Tsuge, Satoshi Hayashi

arxiv:1907.06200 v1 · 2019-07-14 · econ.TH · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIJSFDRXPBBS6Z456HVUPPBIPW}

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	2026-05-17T23:40:38.247665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c213228e3778432f679df1eb47bc287d88ecb2baf0f6c567c722985ae57a4556

Aliases

arxiv: 1907.06200 · arxiv_version: 1907.06200v1 · doi: 10.48550/arxiv.1907.06200 · pith_short_12: YIJSFDRXPBBS · pith_short_16: YIJSFDRXPBBS6Z45 · pith_short_8: YIJSFDRX

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/YIJSFDRXPBBS6Z456HVUPPBIPW \
  | 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: c213228e3778432f679df1eb47bc287d88ecb2baf0f6c567c722985ae57a4556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b2e0d8eecba04e32d0b78046b6191619ff456f4ad31a0270ca4f15803292e0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2019-07-14T10:26:40Z",
    "title_canon_sha256": "22a6010e544249f05eef30406dc16ff822b3892662b0d39dfdb2a4352c2d4c81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06200",
    "kind": "arxiv",
    "version": 1
  }
}