Pith Number

pith:32RRHQYF

pith:2021:32RRHQYFNDJ2OYNBQ2LU5WWVLL

not attested not anchored not stored refs pending

The Theory of Functional Connections: A journey from theory to application

Hunter Johnston

arxiv:2105.08034 v1 · 2021-05-17 · math.OC · cs.SY · eess.SY

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32RRHQYFNDJ2OYNBQ2LU5WWVLL}

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	2026-07-05T02:40:47.200051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea313c30568d3a761a186974edad55ac39d2e077b3a269d4517fdc71e9d05bb

Aliases

arxiv: 2105.08034 · arxiv_version: 2105.08034v1 · doi: 10.48550/arxiv.2105.08034 · pith_short_12: 32RRHQYFNDJ2 · pith_short_16: 32RRHQYFNDJ2OYNB · pith_short_8: 32RRHQYF

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/32RRHQYFNDJ2OYNBQ2LU5WWVLL \
  | 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: dea313c30568d3a761a186974edad55ac39d2e077b3a269d4517fdc71e9d05bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e7776857e3406913c34e68ddd45968bc3d83073a09f8f59bc07a88dbfea05d",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-05-17T17:35:41Z",
    "title_canon_sha256": "3b9fe8a7592e9e8bb7cb3903df427f3703d22135a57e296603627beb204e1246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08034",
    "kind": "arxiv",
    "version": 1
  }
}