Pith Number

pith:VUCH4Q56

pith:2016:VUCH4Q56RWXEKDEQKYNYGDG2KX

not attested not anchored not stored refs pending

Computation of Cournot-Nash equilibria by entropic regularization

Adrien Blanchet, Guillaume Carlier, Luca Nenna

arxiv:1609.02814 v1 · 2016-09-09 · math.OC · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUCH4Q56RWXEKDEQKYNYGDG2KX}

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	2026-05-18T01:04:51.156344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad047e43be8dae450c90561b830cda55e75556f555bb6af7425f5f9b725ecda9

Aliases

arxiv: 1609.02814 · arxiv_version: 1609.02814v1 · doi: 10.48550/arxiv.1609.02814 · pith_short_12: VUCH4Q56RWXE · pith_short_16: VUCH4Q56RWXEKDEQ · pith_short_8: VUCH4Q56

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/VUCH4Q56RWXEKDEQKYNYGDG2KX \
  | 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: ad047e43be8dae450c90561b830cda55e75556f555bb6af7425f5f9b725ecda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87afa96fc35163605d4eb9a503edce3298d8f67c6889d50e0eb74a8771668ec2",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-09T14:43:38Z",
    "title_canon_sha256": "f8e7e7f00c0c32696cfb46dc0524a5512723cc516519bb5b6ecae98fba64a19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02814",
    "kind": "arxiv",
    "version": 1
  }
}