Pith Number

pith:ZCLUHUUM

pith:2019:ZCLUHUUMRBEJNCWMHRFLFNWS2L

not attested not anchored not stored refs pending

Morphisms of tautological control systems

Qianqian Xia

arxiv:1908.03562 v1 · 2019-08-08 · 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{ZCLUHUUMRBEJNCWMHRFLFNWS2L}

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	2026-07-04T23:52:40.906770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89743d28c8848968acc3c4ab2b6d2d2c59aed1e31bd67348e8485c4f751e087

Aliases

arxiv: 1908.03562 · arxiv_version: 1908.03562v1 · doi: 10.48550/arxiv.1908.03562 · pith_short_12: ZCLUHUUMRBEJ · pith_short_16: ZCLUHUUMRBEJNCWM · pith_short_8: ZCLUHUUM

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/ZCLUHUUMRBEJNCWMHRFLFNWS2L \
  | 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: c89743d28c8848968acc3c4ab2b6d2d2c59aed1e31bd67348e8485c4f751e087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb167fdf56d27b0036c2d6f70d0e15c803650931b03c91bed9b541c37f8efb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-08T15:54:54Z",
    "title_canon_sha256": "c2d679e3a1ac152dd35e65d09fbd05da85624b1cf344df72a00087b919537413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03562",
    "kind": "arxiv",
    "version": 1
  }
}