pith. sign in
Pith Number

pith:EUQM6YHD

pith:2016:EUQM6YHD2R234742BX3X7WAZ24
not attested not anchored not stored refs pending

Graph theoretic uncertainty and feasibility

Paul J. Koprowski

arxiv:1603.02059 v1 · 2016-02-18 · math.CA · math.FA · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EUQM6YHD2R234742BX3X7WAZ24}

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 2026-05-18T01:19:31.750139Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2520cf60e3d475be7f9a0df77fd819d723889b33e4b97bb6f2c9a221aec416f5

Aliases

arxiv: 1603.02059 · arxiv_version: 1603.02059v1 · doi: 10.48550/arxiv.1603.02059 · pith_short_12: EUQM6YHD2R23 · pith_short_16: EUQM6YHD2R234742 · pith_short_8: EUQM6YHD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EUQM6YHD2R234742BX3X7WAZ24 \
  | 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: 2520cf60e3d475be7f9a0df77fd819d723889b33e4b97bb6f2c9a221aec416f5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "79feaeabec34de12ad1cee70a9935ccd6b4de3bf319caf9b617f34270aaa0465",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-18T20:15:33Z",
    "title_canon_sha256": "29f8364033e7b4059c19c82bb584cc2e4ddf4050833b7a19d5947941f9a82648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02059",
    "kind": "arxiv",
    "version": 1
  }
}