Pith Number

pith:M4TFAUNP

pith:2021:M4TFAUNPTS3H3OCM2AUOBGLG7K

not attested not anchored not stored refs pending

A Hybrid Inverse Optimization-Stochastic Programming Framework for Network Protection

Daria Terekhov, Stephanie Allen, Steven A. Gabriel

arxiv:2110.00488 v1 · 2021-10-01 · 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{M4TFAUNPTS3H3OCM2AUOBGLG7K}

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	2026-07-05T03:19:29.900327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67265051af9cb67db84cd028e09966fa8bbe87fe8aa49e8103318e8294267004

Aliases

arxiv: 2110.00488 · arxiv_version: 2110.00488v1 · doi: 10.48550/arxiv.2110.00488 · pith_short_12: M4TFAUNPTS3H · pith_short_16: M4TFAUNPTS3H3OCM · pith_short_8: M4TFAUNP

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/M4TFAUNPTS3H3OCM2AUOBGLG7K \
  | 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: 67265051af9cb67db84cd028e09966fa8bbe87fe8aa49e8103318e8294267004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3716ed6027818341c715b284ff1a2d9854ec21ffc2f6bebfc933d158b8ebdb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-10-01T15:37:47Z",
    "title_canon_sha256": "c867cf2af29228b0d843f86deaac5aa4ec5b092a771f262f4b067e05f4310406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.00488",
    "kind": "arxiv",
    "version": 1
  }
}