Pith Number

pith:ZCZX47IH

pith:2025:ZCZX47IHLYAA3P6KICTQWOMP3U

not attested not anchored not stored refs pending

Production Planning Under Demand and Endogenous Supply Uncertainty

Giovanni Pantuso, Mike Hewitt

arxiv:2506.23780 v1 · 2025-06-30 · 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{ZCZX47IHLYAA3P6KICTQWOMP3U}

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	2026-07-05T11:29:27.848334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b37e7d075e000dbfca40a70b398fdd33e539a9ae4462f49c42df32ea8ab547

Aliases

arxiv: 2506.23780 · arxiv_version: 2506.23780v1 · doi: 10.48550/arxiv.2506.23780 · pith_short_12: ZCZX47IHLYAA · pith_short_16: ZCZX47IHLYAA3P6K · pith_short_8: ZCZX47IH

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/ZCZX47IHLYAA3P6KICTQWOMP3U \
  | 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: c8b37e7d075e000dbfca40a70b398fdd33e539a9ae4462f49c42df32ea8ab547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1279447cb7e2c7511dcc81e637d2fb321417d6a9539328a88d13e0dbff8af8ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-30T12:22:40Z",
    "title_canon_sha256": "b5882b24769a03f818e14f5b338e77175166b18673c0c53d84af00dc392d62ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23780",
    "kind": "arxiv",
    "version": 1
  }
}