Pith Number

pith:5X2IF3XQ

pith:2021:5X2IF3XQG6GTPG5Y6EVOWKNPSE

not attested not anchored not stored refs pending

Optimal Design of Membrane Cascades for Gaseous and Liquid Mixtures via MINLP

Jose Adrian Chavez Velasco, Mohit Tawarmalani, Radhakrishna Tumbalam Gooty, Rakesh Agrawal

arxiv:2102.05226 v1 · 2021-02-10 · 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{5X2IF3XQG6GTPG5Y6EVOWKNPSE}

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	2026-07-05T02:14:16.334446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf482eef0378d379bb8f12aeb29af912d3af9626abe485d09ab108a724caa0e

Aliases

arxiv: 2102.05226 · arxiv_version: 2102.05226v1 · doi: 10.48550/arxiv.2102.05226 · pith_short_12: 5X2IF3XQG6GT · pith_short_16: 5X2IF3XQG6GTPG5Y · pith_short_8: 5X2IF3XQ

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/5X2IF3XQG6GTPG5Y6EVOWKNPSE \
  | 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: edf482eef0378d379bb8f12aeb29af912d3af9626abe485d09ab108a724caa0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc2cea49bfa1d4733a96ae22b9bc243049b69c2660c4ccc43fe693a1e877fe1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-02-10T02:36:25Z",
    "title_canon_sha256": "7ed3cca823750be3672741174f66b8db4bfeefdcad9418e4c5d7a7021a948188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.05226",
    "kind": "arxiv",
    "version": 1
  }
}