Pith Number

pith:TPH3BOQZ

pith:2016:TPH3BOQZ3BMHHR4OHJ57BISNA7

not attested not anchored not stored refs pending

A matricial view of the Karpelevi\v{c} Theorem

Charles R. Johnson, Pietro Paparella

arxiv:1611.06970 v2 · 2016-11-21 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPH3BOQZ3BMHHR4OHJ57BISNA7}

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	2026-05-18T00:08:16.285810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bcfb0ba19d85873c78e3a7bf0a24d07c25e489746257f92d450d4e06e354772

Aliases

arxiv: 1611.06970 · arxiv_version: 1611.06970v2 · doi: 10.48550/arxiv.1611.06970 · pith_short_12: TPH3BOQZ3BMH · pith_short_16: TPH3BOQZ3BMHHR4O · pith_short_8: TPH3BOQZ

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/TPH3BOQZ3BMHHR4OHJ57BISNA7 \
  | 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: 9bcfb0ba19d85873c78e3a7bf0a24d07c25e489746257f92d450d4e06e354772

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372799a1859ca2d4d961d2e18d00acae9f5851d68d6de1dfa5a911b7ac47f920",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-11-21T19:44:54Z",
    "title_canon_sha256": "46c6dcfdc5f664d8cc5819de1b31e1b69de0443284967c01de606f23759dc290"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06970",
    "kind": "arxiv",
    "version": 2
  }
}