Pith Number

pith:4BC4J4XB

pith:2015:4BC4J4XBCTT6W46ZETNSSYK5BA

not attested not anchored not stored refs pending

Convergence and State Reconstruction of Time-varying Multi-agent Systems from Complete Observability Theory

Brian D. O. Anderson, Guodong Shi, Jochen Trumpf

arxiv:1512.06244 v2 · 2015-12-19 · cs.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{4BC4J4XBCTT6W46ZETNSSYK5BA}

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	2026-05-18T01:09:36.237221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e045c4f2e114e7eb73d924db29615d083f47c3903d501e12ca166c1ef0c26ecf

Aliases

arxiv: 1512.06244 · arxiv_version: 1512.06244v2 · doi: 10.48550/arxiv.1512.06244 · pith_short_12: 4BC4J4XBCTT6 · pith_short_16: 4BC4J4XBCTT6W46Z · pith_short_8: 4BC4J4XB

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/4BC4J4XBCTT6W46ZETNSSYK5BA \
  | 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: e045c4f2e114e7eb73d924db29615d083f47c3903d501e12ca166c1ef0c26ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2e93dfca28f14d1f58b878af0931dce4b71d0c73a1ac5f337fdc6c5a0bb91f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2015-12-19T13:05:09Z",
    "title_canon_sha256": "8bc4eac9e35713c38bec9ab2d27ff6a120d51fb11ce236dbe56ab280a584fcea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06244",
    "kind": "arxiv",
    "version": 2
  }
}