Pith Number

pith:5DFR6VC4

pith:2012:5DFR6VC4JYACLSQUJHGS2Q7R4Y

not attested not anchored not stored refs pending

Optimal transport and Cournot-Nash equilibria

Adrien Blanchet (GREMAQ), Guillaume Carlier (CEREMADE)

arxiv:1206.6571 v1 · 2012-06-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5DFR6VC4JYACLSQUJHGS2Q7R4Y}

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	2026-05-18T03:52:25.596998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8cb1f545c4e0025ca1449cd2d43f1e62c3701649492f6d1c4dbb9ce383fb23d

Aliases

arxiv: 1206.6571 · arxiv_version: 1206.6571v1 · doi: 10.48550/arxiv.1206.6571 · pith_short_12: 5DFR6VC4JYAC · pith_short_16: 5DFR6VC4JYACLSQU · pith_short_8: 5DFR6VC4

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/5DFR6VC4JYACLSQUJHGS2Q7R4Y \
  | 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: e8cb1f545c4e0025ca1449cd2d43f1e62c3701649492f6d1c4dbb9ce383fb23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6545877396b6175426e16ea0dd16d1c98ea9299b27fb49d089e5d2a365e9dccb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-28T06:20:16Z",
    "title_canon_sha256": "7f14c69ea4c3dd23b22554143810b794f0509bed6a7b807a965e57a5f819dc99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6571",
    "kind": "arxiv",
    "version": 1
  }
}