Pith Number

pith:OTGGAJBE

pith:2016:OTGGAJBEFHJ2Y7LCRYKIRMBJNF

not attested not anchored not stored refs pending

Solving deterministic and stochastic equilibrium problems via augmented Walrasian

Alejandro Jofr\'e, Julio Deride, Roger J-B Wets

arxiv:1612.01441 v1 · 2016-12-05 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTGGAJBEFHJ2Y7LCRYKIRMBJNF}

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	2026-05-18T00:22:48.349298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cc60242429d3ac7d628e1488b029696e1d5db9d47f483a2044f543ce923eb2

Aliases

arxiv: 1612.01441 · arxiv_version: 1612.01441v1 · doi: 10.48550/arxiv.1612.01441 · pith_short_12: OTGGAJBEFHJ2 · pith_short_16: OTGGAJBEFHJ2Y7LC · pith_short_8: OTGGAJBE

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/OTGGAJBEFHJ2Y7LCRYKIRMBJNF \
  | 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: 74cc60242429d3ac7d628e1488b029696e1d5db9d47f483a2044f543ce923eb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24b3f872b0103806402499b7210abbfb79c04c3bcdab0230fb2e766ffe87fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-05T17:21:53Z",
    "title_canon_sha256": "057ed0a68b369a24d8ef1eecf2f08a3cca7210535b051a5596cbe82f600b06b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01441",
    "kind": "arxiv",
    "version": 1
  }
}