Pith Number

pith:QBWNKX65

pith:2020:QBWNKX65L2AJ57LNSDL452KBPW

not attested not anchored not stored refs pending

Revisiting the optimal shape of cooling fins: A one-dimensional analytical study using optimality criteria

Joe Alexandersen, Ole Sigmund

arxiv:2012.04310 v2 · 2020-12-08 · 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{QBWNKX65L2AJ57LNSDL452KBPW}

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	2026-07-05T03:20:19.309393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806cd55fdd5e809efd6d90d7cee9417d89911e66812c04b162aef988d1562b23

Aliases

arxiv: 2012.04310 · arxiv_version: 2012.04310v2 · doi: 10.48550/arxiv.2012.04310 · pith_short_12: QBWNKX65L2AJ · pith_short_16: QBWNKX65L2AJ57LN · pith_short_8: QBWNKX65

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/QBWNKX65L2AJ57LNSDL452KBPW \
  | 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: 806cd55fdd5e809efd6d90d7cee9417d89911e66812c04b162aef988d1562b23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63284f030251df9104d3c45bce5ee4d1e5ebd30b0ebef8229ce3b7431aaf430a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-12-08T09:34:20Z",
    "title_canon_sha256": "3f3382906c20bf5ce583759779b816473c29351fcb89b06dfd937659b7fdd3e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.04310",
    "kind": "arxiv",
    "version": 2
  }
}