Pith Number

pith:D7V67CDP

pith:2023:D7V67CDPTDD3IFQTE7G243TBCL

not attested not anchored not stored refs pending

Backstepping-based tracking control of the vertical gradient freeze crystal growth process

Nicole Gehring, Stefan Ecklebe

arxiv:2301.05631 v2 · 2023-01-13 · 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{D7V67CDPTDD3IFQTE7G243TBCL}

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	2026-07-05T10:11:55.280593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1febef886f98c7b4161327cdae6e6112fc4627cd6e6b30ca9195fbdea39f4bad

Aliases

arxiv: 2301.05631 · arxiv_version: 2301.05631v2 · doi: 10.48550/arxiv.2301.05631 · pith_short_12: D7V67CDPTDD3 · pith_short_16: D7V67CDPTDD3IFQT · pith_short_8: D7V67CDP

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/D7V67CDPTDD3IFQTE7G243TBCL \
  | 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: 1febef886f98c7b4161327cdae6e6112fc4627cd6e6b30ca9195fbdea39f4bad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f747aa8f0b49e64864707a26c68fc3ea28346b66abaee728f392efc0883e8dd2",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-01-13T16:03:37Z",
    "title_canon_sha256": "4d668b6361bd3cb8c8a742ca4b31868e44ceee5b74b0e229f84bc13669e60a37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.05631",
    "kind": "arxiv",
    "version": 2
  }
}