Pith Number

pith:GJRWNICL

pith:2016:GJRWNICL2Q76MQFWZ32QCXDNMP

not attested not anchored not stored refs pending

Relaxed Large Economies with Infinite-Dimensional Commodity Spaces: The Existence of Walrasian Equilibria

M. Ali Khan, Nobusumi Sagara

arxiv:1606.01648 v2 · 2016-06-06 · math.OC · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJRWNICL2Q76MQFWZ32QCXDNMP}

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	2026-05-18T01:03:58.857601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

326366a04bd43fe640b6cef5015c6d63e8ad03dd3a3707ea2375cd27f4df1188

Aliases

arxiv: 1606.01648 · arxiv_version: 1606.01648v2 · doi: 10.48550/arxiv.1606.01648 · pith_short_12: GJRWNICL2Q76 · pith_short_16: GJRWNICL2Q76MQFW · pith_short_8: GJRWNICL

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/GJRWNICL2Q76MQFWZ32QCXDNMP \
  | 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: 326366a04bd43fe640b6cef5015c6d63e8ad03dd3a3707ea2375cd27f4df1188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775b7db62ca5bdfc42008a6f2677a1cf5fa262df96de1c1d8a32bbdd233d1c98",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-06-06T07:58:39Z",
    "title_canon_sha256": "7743a9b23de4b25cf43d5f728f03e832c40c57ba8531f576a842d57302f57914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01648",
    "kind": "arxiv",
    "version": 2
  }
}