Pith Number

pith:SFTR52MX

pith:2015:SFTR52MXCV5QLHKYSUOKKPT2W7

not attested not anchored not stored refs pending

Multiplicity of equilibria in conjectural variations models of natural gas markets

John Lygeros, Pius Kr\"utli, Rudolf M. F\"uchslin, Tobias Baltensperger

arxiv:1510.04473 v1 · 2015-10-15 · 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{SFTR52MXCV5QLHKYSUOKKPT2W7}

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	2026-05-18T01:30:07.059146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91671ee997157b059d58951ca53e7ab7f472d09674cb576d319771e7cbb30fec

Aliases

arxiv: 1510.04473 · arxiv_version: 1510.04473v1 · doi: 10.48550/arxiv.1510.04473 · pith_short_12: SFTR52MXCV5Q · pith_short_16: SFTR52MXCV5QLHKY · pith_short_8: SFTR52MX

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/SFTR52MXCV5QLHKYSUOKKPT2W7 \
  | 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: 91671ee997157b059d58951ca53e7ab7f472d09674cb576d319771e7cbb30fec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a786f182f00fc21d0031abd187a37bd20b20c95295d2fcb62115f9ae374a925",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-15T11:15:10Z",
    "title_canon_sha256": "ace1b2ebc838061e47bfdb157bc9f5dbbdc9980dc9edd91a38d10785283abfea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04473",
    "kind": "arxiv",
    "version": 1
  }
}