Pith Number

pith:DCHZ2UJT

pith:2019:DCHZ2UJTZ24MNQKG47UOQP4RHW

not attested not anchored not stored refs pending

Modified golden ratio algorithms for solving equilibrium problems

Dang Van Hieu, Jean Jacques Strodiot, Le Dung Muu

arxiv:1907.04013 v1 · 2019-07-09 · 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{DCHZ2UJTZ24MNQKG47UOQP4RHW}

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	2026-05-17T23:41:05.979623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

188f9d5133ceb8c6c146e7e8e83f913d831ae78ca736af52f6222e49ccb0d615

Aliases

arxiv: 1907.04013 · arxiv_version: 1907.04013v1 · doi: 10.48550/arxiv.1907.04013 · pith_short_12: DCHZ2UJTZ24M · pith_short_16: DCHZ2UJTZ24MNQKG · pith_short_8: DCHZ2UJT

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/DCHZ2UJTZ24MNQKG47UOQP4RHW \
  | 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: 188f9d5133ceb8c6c146e7e8e83f913d831ae78ca736af52f6222e49ccb0d615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb412c4d56f621046ccc130ea1ec3bbd1d4891e9f4aeb0f6acb1b30cc3e9161f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-07-09T06:57:00Z",
    "title_canon_sha256": "879c796448f10920b62de7c387ec0d60f9022d16c0353d0cc5c388fb200b2aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04013",
    "kind": "arxiv",
    "version": 1
  }
}