Pith Number

pith:66AN67IP

pith:2016:66AN67IPHKD4FZNJNYEK2FWIXK

not attested not anchored not stored refs pending

q-exponential behavior of expected aggregated supply curves in deregulated electricity markets

C. Cadavid, J. D. Velez, Juan F. Garcia, M. E. Puerta

arxiv:1601.07515 v1 · 2016-01-27 · 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{66AN67IPHKD4FZNJNYEK2FWIXK}

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	2026-05-18T01:21:45.700426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f780df7d0f3a87c2e5a96e08ad16c8babd7a0b4caab9460beaf85e48c0c4434c

Aliases

arxiv: 1601.07515 · arxiv_version: 1601.07515v1 · doi: 10.48550/arxiv.1601.07515 · pith_short_12: 66AN67IPHKD4 · pith_short_16: 66AN67IPHKD4FZNJ · pith_short_8: 66AN67IP

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/66AN67IPHKD4FZNJNYEK2FWIXK \
  | 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: f780df7d0f3a87c2e5a96e08ad16c8babd7a0b4caab9460beaf85e48c0c4434c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "178d385b03b8f925c4b7d80514a6a311ad4726ed5a070c6cd3a8493aa96c6a50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-01-27T19:30:06Z",
    "title_canon_sha256": "586df0ea79eae14d2e1948928b38d59dfd9ce7e4c4ead59ebca37367644c6065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07515",
    "kind": "arxiv",
    "version": 1
  }
}